{"id":567141,"date":"2026-07-22T11:28:30","date_gmt":"2026-07-22T04:28:30","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=567141"},"modified":"2026-07-22T11:28:30","modified_gmt":"2026-07-22T04:28:30","slug":"so-chinh-phuong-la-gi","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/so-chinh-phuong-la-gi\/","title":{"rendered":"S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng l\u00e0 g\u00ec? T\u00ednh ch\u1ea5t v\u00e0 c\u00e1ch nh\u1eadn bi\u1ebft"},"content":{"rendered":"<p>S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng l\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean b\u1eb1ng b\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t s\u1ed1 t\u1ef1 nhi\u00ean kh\u00e1c, vi\u1ebft d\u01b0\u1edbi d\u1ea1ng n\u00b2 v\u1edbi n l\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean. Nh\u1eefng con s\u1ed1 quen thu\u1ed9c nh\u01b0 1, 4, 9, 16, 25, 36 \u0111\u1ec1u l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng \u2014 b\u1ea1n g\u1eb7p ch\u00fang ngay t\u1eeb nh\u1eefng b\u00e0i h\u1ecdc \u0111\u1ea7u ti\u00ean v\u1ec1 ph\u00e9p nh\u00e2n v\u00e0 l\u0169y th\u1eeba \u1edf b\u1eadc THCS. Kh\u00e1i ni\u1ec7m n\u00e0y c\u00f2n xu\u1ea5t hi\u1ec7n xuy\u00ean su\u1ed1t c\u00e1c d\u1ea1ng b\u00e0i r\u00fat g\u1ecdn c\u0103n th\u1ee9c, ch\u1ee9ng minh chia h\u1ebft v\u00e0 t\u00ecm s\u1ed1. N\u1ed9i dung d\u01b0\u1edbi \u0111\u00e2y gi\u00fap b\u1ea1n n\u1eafm ch\u1eafc \u0111\u1ecbnh ngh\u0129a, ghi nh\u1edb b\u1ea3ng s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng t\u1eeb 1 \u0111\u1ebfn 144, hi\u1ec3u r\u00f5 c\u00e1c t\u00ednh ch\u1ea5t \u0111\u1eb7c tr\u01b0ng, bi\u1ebft c\u00e1ch nh\u1eadn bi\u1ebft nhanh v\u00e0 luy\u1ec7n t\u1eadp qua nhi\u1ec1u v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i t\u1eebng b\u01b0\u1edbc.<\/p>\n<h2>S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng l\u00e0 g\u00ec?<\/h2>\n<p>S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng (c\u00f2n g\u1ecdi l\u00e0 s\u1ed1 b\u00ecnh ph\u01b0\u01a1ng) l\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean c\u00f3 th\u1ec3 vi\u1ebft d\u01b0\u1edbi d\u1ea1ng b\u00ecnh ph\u01b0\u01a1ng \u0111\u00fang c\u1ee7a m\u1ed9t s\u1ed1 t\u1ef1 nhi\u00ean kh\u00e1c. N\u00f3i c\u00e1ch kh\u00e1c, m\u1ed9t s\u1ed1 A \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng n\u1ebfu t\u1ed3n t\u1ea1i s\u1ed1 t\u1ef1 nhi\u00ean n sao cho A = n\u00b2. Ch\u1eb3ng h\u1ea1n, 25 l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng v\u00ec 25 = 5\u00b2; 81 l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng v\u00ec 81 = 9\u00b2. S\u1ed1 0 c\u0169ng \u0111\u01b0\u1ee3c xem l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng v\u00ec 0 = 0\u00b2, d\u00f9 nhi\u1ec1u b\u00e0i t\u1eadp \u1edf tr\u01b0\u1eddng th\u01b0\u1eddng ch\u1ec9 x\u00e9t c\u00e1c s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng d\u01b0\u01a1ng. Ng\u01b0\u1ee3c l\u1ea1i, 20 kh\u00f4ng ph\u1ea3i s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng v\u00ec kh\u00f4ng c\u00f3 s\u1ed1 t\u1ef1 nhi\u00ean n\u00e0o b\u00ecnh ph\u01b0\u01a1ng l\u00ean b\u1eb1ng 20.<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-568825 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-1.jpg\" alt=\"so-chinh-phuong-la-gi-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>B\u1ea3ng s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng t\u1eeb 1 \u0111\u1ebfn 144<\/h2>\n<p>\u0110\u00e2y l\u00e0 12 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng nh\u1ecf \u0111\u1ea7u ti\u00ean b\u1ea1n n\u00ean thu\u1ed9c l\u00f2ng \u0111\u1ec3 l\u00e0m b\u00e0i nhanh h\u01a1n.<\/p>\n<table>\n<thead>\n<tr>\n<th>n<\/th>\n<th>n\u00b2 (S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng)<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>1<\/td>\n<td>1<\/td>\n<\/tr>\n<tr>\n<td>2<\/td>\n<td>4<\/td>\n<\/tr>\n<tr>\n<td>3<\/td>\n<td>9<\/td>\n<\/tr>\n<tr>\n<td>4<\/td>\n<td>16<\/td>\n<\/tr>\n<tr>\n<td>5<\/td>\n<td>25<\/td>\n<\/tr>\n<tr>\n<td>6<\/td>\n<td>36<\/td>\n<\/tr>\n<tr>\n<td>7<\/td>\n<td>49<\/td>\n<\/tr>\n<tr>\n<td>8<\/td>\n<td>64<\/td>\n<\/tr>\n<tr>\n<td>9<\/td>\n<td>81<\/td>\n<\/tr>\n<tr>\n<td>10<\/td>\n<td>100<\/td>\n<\/tr>\n<tr>\n<td>11<\/td>\n<td>121<\/td>\n<\/tr>\n<tr>\n<td>12<\/td>\n<td>144<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Ghi nh\u1edb d\u00e3y 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 gi\u00fap b\u1ea1n nh\u1eadn ra ngay s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng trong \u0111\u1ec1 b\u00e0i, \u0111\u1eb7c bi\u1ec7t h\u1eefu \u00edch khi l\u00e0m tr\u1eafc nghi\u1ec7m c\u00f3 gi\u1edbi h\u1ea1n th\u1eddi gian.<\/p>\n<h2>T\u00ednh ch\u1ea5t c\u1ee7a s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng<\/h2>\n<p>S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng c\u00f3 nhi\u1ec1u t\u00ednh ch\u1ea5t gi\u00fap b\u1ea1n ki\u1ec3m tra nhanh m\u00e0 kh\u00f4ng c\u1ea7n khai c\u0103n.<\/p>\n<ul>\n<li>Ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng ch\u1ec9 c\u00f3 th\u1ec3 l\u00e0 0, 1, 4, 5, 6 ho\u1eb7c 9; kh\u00f4ng bao gi\u1edd t\u1eadn c\u00f9ng b\u1eb1ng 2, 3, 7 ho\u1eb7c 8.<\/li>\n<li>S\u1ed1 l\u01b0\u1ee3ng \u01b0\u1edbc s\u1ed1 c\u1ee7a m\u1ed9t s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng lu\u00f4n l\u00e0 s\u1ed1 l\u1ebb, v\u00ec c\u00e1c \u01b0\u1edbc gh\u00e9p th\u00e0nh t\u1eebng c\u1eb7p (d v\u00e0 A \u00f7 d), ri\u00eang c\u0103n b\u1eadc hai \u0111\u1ee9ng m\u1ed9t m\u00ecnh kh\u00f4ng c\u00f3 c\u1eb7p.<\/li>\n<li>N\u1ebfu m\u1ed9t s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng chia h\u1ebft cho m\u1ed9t s\u1ed1 nguy\u00ean t\u1ed1 p th\u00ec n\u00f3 c\u0169ng chia h\u1ebft cho p\u00b2. V\u00ed d\u1ee5: s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng chia h\u1ebft cho 3 th\u00ec ch\u1eafc ch\u1eafn chia h\u1ebft cho 9.<\/li>\n<li>S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng chia cho 3 ch\u1ec9 d\u01b0 0 ho\u1eb7c 1; chia cho 4 ch\u1ec9 d\u01b0 0 ho\u1eb7c 1 \u2014 kh\u00f4ng bao gi\u1edd d\u01b0 2 hay 3.<\/li>\n<\/ul>\n<p><strong>Xem th\u00eam: <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/phuong-trinh-luong-giac\/\">Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n: c\u00f4ng th\u1ee9c nghi\u1ec7m v\u00e0 v\u00ed d\u1ee5<\/a><\/strong><\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-568826 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-2.jpg\" alt=\"so-chinh-phuong-la-gi-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00e1ch nh\u1eadn bi\u1ebft s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng<\/h2>\n<p>C\u00f3 ba c\u00e1ch ph\u1ed5 bi\u1ebfn \u0111\u1ec3 ki\u1ec3m tra nhanh m\u1ed9t s\u1ed1 c\u00f3 ph\u1ea3i l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng hay kh\u00f4ng.<\/p>\n<ul>\n<li>X\u00e9t ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng: n\u1ebfu s\u1ed1 \u0111\u00f3 t\u1eadn c\u00f9ng b\u1eb1ng 2, 3, 7 ho\u1eb7c 8 th\u00ec ch\u1eafc ch\u1eafn kh\u00f4ng ph\u1ea3i s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng \u2014 \u0111\u00e2y l\u00e0 \u0111i\u1ec1u ki\u1ec7n c\u1ea7n nh\u01b0ng ch\u01b0a \u0111\u1ee7.<\/li>\n<li>L\u1ea5y c\u0103n b\u1eadc hai: t\u00ednh \u221aA; n\u1ebfu k\u1ebft qu\u1ea3 l\u00e0 m\u1ed9t s\u1ed1 t\u1ef1 nhi\u00ean th\u00ec A l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng. V\u00ed d\u1ee5 \u221a169 = 13 n\u00ean 169 l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng.<\/li>\n<li>Ph\u00e2n t\u00edch ra th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1: A l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng khi v\u00e0 ch\u1ec9 khi m\u1ecdi s\u1ed1 m\u0169 trong ph\u00e2n t\u00edch \u0111\u1ec1u l\u00e0 s\u1ed1 ch\u1eb5n. V\u00ed d\u1ee5 144 = 2\u2074 \u00d7 3\u00b2, c\u1ea3 hai s\u1ed1 m\u0169 (4 v\u00e0 2) \u0111\u1ec1u ch\u1eb5n n\u00ean 144 l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng.<\/li>\n<\/ul>\n<h2>V\u00ed d\u1ee5 minh h\u1ecda c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft<\/h2>\n<p>C\u00e1c v\u00ed d\u1ee5 sau \u00e1p d\u1ee5ng t\u1eebng b\u01b0\u1edbc ba c\u00e1ch nh\u1eadn bi\u1ebft \u1edf tr\u00ean v\u00e0o b\u00e0i to\u00e1n c\u1ee5 th\u1ec3.<\/p>\n<p><strong>V\u00ed d\u1ee5 1: Ki\u1ec3m tra 225 c\u00f3 ph\u1ea3i l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng kh\u00f4ng?<\/strong><\/p>\n<ul>\n<li>B\u01b0\u1edbc 1: X\u00e9t ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng \u2014 225 t\u1eadn c\u00f9ng b\u1eb1ng 5, thu\u1ed9c nh\u00f3m c\u00f3 th\u1ec3 l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng n\u00ean ch\u01b0a lo\u1ea1i \u0111\u01b0\u1ee3c.<\/li>\n<li>B\u01b0\u1edbc 2: T\u00ednh c\u0103n b\u1eadc hai \u2014 \u221a225 = 15 v\u00ec 15 \u00d7 15 = 225.<\/li>\n<li>B\u01b0\u1edbc 3: V\u00ec 15 l\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean n\u00ean 225 l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng (225 = 15\u00b2).<\/li>\n<\/ul>\n<p><strong>V\u00ed d\u1ee5 2: S\u1ed1 2023 c\u00f3 ph\u1ea3i l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng kh\u00f4ng?<\/strong><\/p>\n<ul>\n<li>B\u01b0\u1edbc 1: X\u00e9t ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng \u2014 2023 t\u1eadn c\u00f9ng b\u1eb1ng 3.<\/li>\n<li>B\u01b0\u1edbc 2: Theo t\u00ednh ch\u1ea5t \u0111\u00e3 n\u00eau, s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng kh\u00f4ng bao gi\u1edd t\u1eadn c\u00f9ng b\u1eb1ng 2, 3, 7 ho\u1eb7c 8.<\/li>\n<li>B\u01b0\u1edbc 3: V\u1eady 2023 kh\u00f4ng ph\u1ea3i l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng \u2014 k\u1ebft lu\u1eadn ngay m\u00e0 kh\u00f4ng c\u1ea7n t\u00ednh c\u0103n b\u1eadc hai.<\/li>\n<\/ul>\n<p><strong>V\u00ed d\u1ee5 3: Ch\u1ee9ng minh 196 l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng b\u1eb1ng ph\u00e2n t\u00edch th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1.<\/strong><\/p>\n<ul>\n<li>B\u01b0\u1edbc 1: Ph\u00e2n t\u00edch 196 = 4 \u00d7 49 = 2\u00b2 \u00d7 7\u00b2.<\/li>\n<li>B\u01b0\u1edbc 2: C\u1ea3 hai th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 2 v\u00e0 7 \u0111\u1ec1u c\u00f3 s\u1ed1 m\u0169 ch\u1eb5n (\u0111\u1ec1u b\u1eb1ng 2).<\/li>\n<li>B\u01b0\u1edbc 3: V\u1eady 196 l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng, c\u1ee5 th\u1ec3 196 = 14\u00b2 v\u00ec 14 = 2 \u00d7 7.<\/li>\n<\/ul>\n<p><strong>V\u00ed d\u1ee5 4: T\u00ecm s\u1ed1 t\u1ef1 nhi\u00ean nh\u1ecf nh\u1ea5t c\u1ea7n c\u1ed9ng th\u00eam v\u00e0o 50 \u0111\u1ec3 \u0111\u01b0\u1ee3c m\u1ed9t s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng.<\/strong><\/p>\n<ul>\n<li>B\u01b0\u1edbc 1: T\u00ecm s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng nh\u1ecf nh\u1ea5t l\u1edbn h\u01a1n ho\u1eb7c b\u1eb1ng 50 \u2014 v\u00ec 7\u00b2 = 49 nh\u1ecf h\u01a1n 50 c\u00f2n 8\u00b2 = 64 l\u1edbn h\u01a1n 50, s\u1ed1 c\u1ea7n t\u00ecm l\u00e0 64.<\/li>\n<li>B\u01b0\u1edbc 2: T\u00ednh hi\u1ec7u 64 \u2212 50 = 14.<\/li>\n<li>B\u01b0\u1edbc 3: V\u1eady c\u1ea7n c\u1ed9ng th\u00eam 14 v\u00e0o 50 \u0111\u1ec3 \u0111\u01b0\u1ee3c 64 = 8\u00b2, m\u1ed9t s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng.<\/li>\n<\/ul>\n<p><img decoding=\"async\" class=\"size-full wp-image-568827 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-3.jpg\" alt=\"so-chinh-phuong-la-gi-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>B\u00e0i t\u1eadp tr\u1eafc nghi\u1ec7m nhanh<\/h2>\n<p>B\u1ea1n c\u00f3 th\u1ec3 t\u1ef1 ki\u1ec3m tra m\u1ee9c \u0111\u1ed9 n\u1eafm b\u00e0i qua ba c\u00e2u h\u1ecfi ng\u1eafn sau.<\/p>\n<ul>\n<li><strong>C\u00e2u 1:<\/strong> Trong c\u00e1c s\u1ed1 48, 64, 72, 121, s\u1ed1 n\u00e0o KH\u00d4NG ph\u1ea3i s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng? <em>\u0110\u00e1p \u00e1n:<\/em> 48 v\u00e0 72 (v\u00ec 64 = 8\u00b2, 121 = 11\u00b2 m\u1edbi l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng).<\/li>\n<li><strong>C\u00e2u 2:<\/strong> S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng nh\u1ecf nh\u1ea5t c\u00f3 ba ch\u1eef s\u1ed1 l\u00e0 bao nhi\u00eau? <em>\u0110\u00e1p \u00e1n:<\/em> 100, v\u00ec 100 = 10\u00b2.<\/li>\n<li><strong>C\u00e2u 3:<\/strong> Trong b\u1ed1n s\u1ed1 27, 45, 121, 200, s\u1ed1 n\u00e0o l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng? <em>\u0110\u00e1p \u00e1n:<\/em> Ch\u1ec9 121 = 11\u00b2.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-568828 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-4.jpg\" alt=\"so-chinh-phuong-la-gi-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng ch\u1eb5n v\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng l\u1ebb<\/h2>\n<p>S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng c\u00f3 th\u1ec3 chia th\u00e0nh hai nh\u00f3m ch\u1eb5n v\u00e0 l\u1ebb, m\u1ed7i nh\u00f3m mang m\u1ed9t t\u00ednh ch\u1ea5t chia h\u1ebft ri\u00eang.<br \/>\nN\u1ebfu n l\u00e0 s\u1ed1 ch\u1eb5n th\u00ec n\u00b2 l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng ch\u1eb5n, v\u00ed d\u1ee5 4, 16, 36, 64. Ng\u01b0\u1ee3c l\u1ea1i, n\u1ebfu n l\u00e0 s\u1ed1 l\u1ebb th\u00ec n\u00b2 l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng l\u1ebb, v\u00ed d\u1ee5 1, 9, 25, 49. M\u1ed9t t\u00ednh ch\u1ea5t hay d\u00f9ng khi ch\u1ee9ng minh l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng l\u1ebb chia cho 8 lu\u00f4n d\u01b0 1 (v\u00ed d\u1ee5 25, 49 chia 8 \u0111\u1ec1u d\u01b0 1). Gi\u1eefa hai s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng li\u00ean ti\u1ebfp n\u00b2 v\u00e0 (n + 1)\u00b2 kh\u00f4ng c\u00f3 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng n\u00e0o kh\u00e1c; kho\u1ea3ng c\u00e1ch gi\u1eefa ch\u00fang l\u00e0 2n + 1, c\u00e0ng v\u1ec1 sau c\u00e0ng l\u1edbn.<\/p>\n<h2>\u1ee8ng d\u1ee5ng c\u1ee7a s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng trong h\u1ecdc t\u1eadp v\u00e0 th\u1ef1c t\u1ebf<\/h2>\n<p>S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng kh\u00f4ng ch\u1ec9 l\u00e0 l\u00fd thuy\u1ebft s\u1ed1 h\u1ecdc m\u00e0 c\u00f2n g\u1eafn v\u1edbi nhi\u1ec1u d\u1ea1ng b\u00e0i to\u00e1n v\u00e0 h\u00ecnh h\u1ecdc quen thu\u1ed9c.<br \/>\nTrong s\u1ed1 h\u1ecdc, s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng xu\u1ea5t hi\u1ec7n \u1edf c\u00e1c b\u00e0i to\u00e1n v\u1ec1 \u01b0\u1edbc \u2013 b\u1ed9i, t\u00ednh chia h\u1ebft v\u00e0 ph\u01b0\u01a1ng tr\u00ecnh nghi\u1ec7m nguy\u00ean. Trong h\u00ecnh h\u1ecdc, di\u1ec7n t\u00edch m\u1ed9t h\u00ecnh vu\u00f4ng c\u1ea1nh n ch\u00ednh b\u1eb1ng n\u00b2 \u2014 \u0111\u00e2y c\u0169ng l\u00e0 l\u00fd do t\u00ean g\u1ecdi &#8220;ch\u00ednh ph\u01b0\u01a1ng&#8221; (h\u00ecnh vu\u00f4ng). N\u1eafm v\u1eefng c\u00e1c t\u00ednh ch\u1ea5t n\u00e0y gi\u00fap h\u1ecdc sinh gi\u1ea3i nhanh c\u00e1c b\u00e0i ch\u1ee9ng minh, t\u00ecm s\u1ed1 trong ch\u01b0\u01a1ng tr\u00ecnh THCS v\u00e0 c\u00e1c k\u1ef3 thi h\u1ecdc sinh gi\u1ecfi.<\/p>\n<p><strong>Xem th\u00eam: <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-thoi\/\">Di\u1ec7n t\u00edch h\u00ecnh thoi: c\u00f4ng th\u1ee9c, c\u00e1ch t\u00ednh v\u00e0 v\u00ed d\u1ee5<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-568829 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-5.jpg\" alt=\"so-chinh-phuong-la-gi-5\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-5.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-5-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/so-chinh-phuong-la-gi-5-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p v\u1ec1 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng<\/h2>\n<h3>S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng l\u00e0 g\u00ec?<\/h3>\n<p>L\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean b\u1eb1ng b\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t s\u1ed1 t\u1ef1 nhi\u00ean, t\u1ee9c c\u00f3 d\u1ea1ng n\u00b2 v\u1edbi n l\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean.<\/p>\n<h3>S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng t\u1eadn c\u00f9ng b\u1eb1ng nh\u1eefng ch\u1eef s\u1ed1 n\u00e0o?<\/h3>\n<p>Ch\u1ec9 t\u1eadn c\u00f9ng b\u1eb1ng 0, 1, 4, 5, 6 ho\u1eb7c 9; kh\u00f4ng bao gi\u1edd t\u1eadn c\u00f9ng b\u1eb1ng 2, 3, 7 ho\u1eb7c 8.<\/p>\n<h3>L\u00e0m sao \u0111\u1ec3 nh\u1eadn bi\u1ebft m\u1ed9t s\u1ed1 c\u00f3 ph\u1ea3i l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng hay kh\u00f4ng?<\/h3>\n<p>B\u1ea1n c\u00f3 th\u1ec3 l\u1ea5y c\u0103n b\u1eadc hai c\u1ee7a s\u1ed1 \u0111\u00f3; n\u1ebfu k\u1ebft qu\u1ea3 l\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean th\u00ec \u0111\u00f3 l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng. C\u00e1ch kh\u00e1c l\u00e0 ph\u00e2n t\u00edch ra th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 v\u00e0 ki\u1ec3m tra m\u1ecdi s\u1ed1 m\u0169 \u0111\u1ec1u ch\u1eb5n.<\/p>\n<h3>100 c\u00f3 ph\u1ea3i l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng kh\u00f4ng?<\/h3>\n<p>C\u00f3, v\u00ec 100 = 10\u00b2.<\/p>\n<h3>S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng c\u00f3 bao nhi\u00eau \u01b0\u1edbc s\u1ed1?<\/h3>\n<p>S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng lu\u00f4n c\u00f3 s\u1ed1 l\u01b0\u1ee3ng \u01b0\u1edbc l\u00e0 m\u1ed9t s\u1ed1 l\u1ebb, v\u00ec c\u00e1c \u01b0\u1edbc gh\u00e9p th\u00e0nh c\u1eb7p, ri\u00eang c\u0103n b\u1eadc hai \u0111\u1ee9ng m\u1ed9t m\u00ecnh.<\/p>\n<h3>S\u1ed1 0 c\u00f3 ph\u1ea3i l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng kh\u00f4ng?<\/h3>\n<p>C\u00f3, v\u00ec 0 = 0\u00b2, d\u00f9 nhi\u1ec1u b\u00e0i t\u1eadp \u1edf tr\u01b0\u1eddng ch\u1ec9 x\u00e9t s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng d\u01b0\u01a1ng t\u1eeb 1 tr\u1edf l\u00ean.<\/p>\n<h3>S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng c\u00f3 th\u1ec3 l\u00e0 s\u1ed1 \u00e2m kh\u00f4ng?<\/h3>\n<p>Kh\u00f4ng. S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng \u0111\u01b0\u1ee3c \u0111\u1ecbnh ngh\u0129a tr\u00ean t\u1eadp s\u1ed1 t\u1ef1 nhi\u00ean n\u00ean lu\u00f4n kh\u00f4ng \u00e2m.<\/p>\n<h3>C\u00f3 c\u00e1ch n\u00e0o t\u00ednh nhanh b\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t s\u1ed1 t\u1eadn c\u00f9ng b\u1eb1ng 5 kh\u00f4ng?<\/h3>\n<p>C\u00f3. V\u1edbi s\u1ed1 d\u1ea1ng (10a + 5)\u00b2, k\u1ebft qu\u1ea3 lu\u00f4n b\u1eb1ng a \u00d7 (a + 1) r\u1ed3i vi\u1ebft th\u00eam 25 v\u00e0o ph\u00eda sau. V\u00ed d\u1ee5 35\u00b2 = 3 \u00d7 4 r\u1ed3i gh\u00e9p v\u1edbi 25, ra k\u1ebft qu\u1ea3 1225.<\/p>\n<h2>K\u1ebft lu\u1eadn<\/h2>\n<p>S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng l\u00e0 s\u1ed1 c\u00f3 d\u1ea1ng n\u00b2 v\u1edbi n l\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean, ch\u1ec9 t\u1eadn c\u00f9ng b\u1eb1ng 0, 1, 4, 5, 6 ho\u1eb7c 9 v\u00e0 lu\u00f4n c\u00f3 s\u1ed1 l\u01b0\u1ee3ng \u01b0\u1edbc l\u00e0 m\u1ed9t s\u1ed1 l\u1ebb. Ghi nh\u1edb b\u1ea3ng s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng t\u1eeb 1 \u0111\u1ebfn 144 c\u00f9ng ba c\u00e1ch nh\u1eadn bi\u1ebft \u2014 x\u00e9t ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng, l\u1ea5y c\u0103n b\u1eadc hai, ph\u00e2n t\u00edch th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 \u2014 s\u1ebd gi\u00fap b\u1ea1n gi\u1ea3i nhanh v\u00e0 ch\u00ednh x\u00e1c nhi\u1ec1u d\u1ea1ng b\u00e0i li\u00ean quan. B\u1ea1n c\u00f3 th\u1ec3 luy\u1ec7n t\u1eadp th\u00eam v\u1edbi b\u00e0i vi\u1ebft v\u1ec1 <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/tap-hop-so-nguyen-z-la-gi-giai-ma-toan-dien-ve-z-trong-toan-hoc\/\">t\u1eadp h\u1ee3p s\u1ed1 nguy\u00ean Z<\/a> tr\u00ean chuy\u00ean m\u1ee5c To\u00e1n h\u1ecdc c\u1ee7a Ho\u00e0ng H\u00e0 Mobile.<\/p>\n<p><script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[\n{\"@type\":\"Question\",\"name\":\"S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng l\u00e0 g\u00ec?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"L\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean b\u1eb1ng b\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t s\u1ed1 t\u1ef1 nhi\u00ean, t\u1ee9c c\u00f3 d\u1ea1ng n\u00b2 v\u1edbi n l\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean.\"}},\n{\"@type\":\"Question\",\"name\":\"S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng t\u1eadn c\u00f9ng b\u1eb1ng nh\u1eefng ch\u1eef s\u1ed1 n\u00e0o?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Ch\u1ec9 t\u1eadn c\u00f9ng b\u1eb1ng 0, 1, 4, 5, 6 ho\u1eb7c 9; kh\u00f4ng bao gi\u1edd t\u1eadn c\u00f9ng b\u1eb1ng 2, 3, 7 ho\u1eb7c 8.\"}},\n{\"@type\":\"Question\",\"name\":\"L\u00e0m sao \u0111\u1ec3 nh\u1eadn bi\u1ebft m\u1ed9t s\u1ed1 c\u00f3 ph\u1ea3i l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng hay kh\u00f4ng?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"B\u1ea1n c\u00f3 th\u1ec3 l\u1ea5y c\u0103n b\u1eadc hai c\u1ee7a s\u1ed1 \u0111\u00f3; n\u1ebfu k\u1ebft qu\u1ea3 l\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean th\u00ec \u0111\u00f3 l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng. 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S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng \u0111\u01b0\u1ee3c \u0111\u1ecbnh ngh\u0129a tr\u00ean t\u1eadp s\u1ed1 t\u1ef1 nhi\u00ean n\u00ean lu\u00f4n kh\u00f4ng \u00e2m.\"}},\n{\"@type\":\"Question\",\"name\":\"C\u00f3 c\u00e1ch n\u00e0o t\u00ednh nhanh b\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t s\u1ed1 t\u1eadn c\u00f9ng b\u1eb1ng 5 kh\u00f4ng?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"C\u00f3. V\u1edbi s\u1ed1 d\u1ea1ng (10a + 5)\u00b2, k\u1ebft qu\u1ea3 lu\u00f4n b\u1eb1ng a \u00d7 (a + 1) r\u1ed3i vi\u1ebft th\u00eam 25 v\u00e0o ph\u00eda sau. V\u00ed d\u1ee5 35\u00b2 = 3 \u00d7 4 r\u1ed3i gh\u00e9p v\u1edbi 25, ra k\u1ebft qu\u1ea3 1225.\"}}\n]}\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng l\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean b\u1eb1ng b\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t s\u1ed1 t\u1ef1 nhi\u00ean kh\u00e1c, vi\u1ebft d\u01b0\u1edbi d\u1ea1ng n\u00b2 v\u1edbi n l\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean. Nh\u1eefng con s\u1ed1 quen thu\u1ed9c nh\u01b0 1, 4, 9, 16, 25, 36 \u0111\u1ec1u l\u00e0 s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng \u2014 b\u1ea1n g\u1eb7p ch\u00fang ngay t\u1eeb nh\u1eefng b\u00e0i h\u1ecdc \u0111\u1ea7u ti\u00ean v\u1ec1 [&hellip;]<\/p>\n","protected":false},"author":65,"featured_media":568823,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng","_yoast_wpseo_title":"S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng l\u00e0 g\u00ec? T\u00ednh ch\u1ea5t, v\u00ed d\u1ee5","_yoast_wpseo_metadesc":"S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng l\u00e0 g\u00ec? \u0110\u1ecbnh ngh\u0129a, b\u1ea3ng s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng t\u1eeb 1-144, t\u00ednh ch\u1ea5t, d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft v\u00e0 v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft, d\u1ec5 hi\u1ec3u t\u1ea1i Ho\u00e0ng H\u00e0 Mobile.","footnotes":""},"categories":[16],"tags":[],"class_list":["post-567141","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-thu-thuat"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>S\u1ed1 ch\u00ednh ph\u01b0\u01a1ng l\u00e0 g\u00ec? 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