{"id":567210,"date":"2026-07-22T15:32:40","date_gmt":"2026-07-22T08:32:40","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=567210"},"modified":"2026-07-22T15:32:40","modified_gmt":"2026-07-22T08:32:40","slug":"luy-thua-la-gi","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/luy-thua-la-gi\/","title":{"rendered":"L\u0169y th\u1eeba l\u00e0 g\u00ec? \u0110\u1ecbnh ngh\u0129a, t\u00ednh ch\u1ea5t v\u00e0 c\u00e1ch t\u00ednh"},"content":{"rendered":"<p>L\u0169y th\u1eeba b\u1eadc n c\u1ee7a m\u1ed9t s\u1ed1 a l\u00e0 t\u00edch c\u1ee7a n th\u1eeba s\u1ed1 b\u1eb1ng nhau, m\u1ed7i th\u1eeba s\u1ed1 \u0111\u1ec1u b\u1eb1ng a, vi\u1ebft g\u1ecdn l\u00e0 a\u207f = a \u00b7 a \u00b7 \u2026 \u00b7 a (n th\u1eeba s\u1ed1). Trong c\u00e1ch vi\u1ebft n\u00e0y, a g\u1ecdi l\u00e0 c\u01a1 s\u1ed1, n g\u1ecdi l\u00e0 s\u1ed1 m\u0169, v\u00e0 bi\u1ec3u th\u1ee9c a\u207f \u0111\u1ecdc l\u00e0 &#8220;a m\u0169 n&#8221;. \u0110\u00e2y l\u00e0 ki\u1ebfn th\u1ee9c n\u1ec1n c\u1ee7a \u0110\u1ea1i s\u1ed1, xu\u1ea5t hi\u1ec7n t\u1eeb ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n l\u1edbp 6 v\u00e0 \u0111\u01b0\u1ee3c d\u00f9ng xuy\u00ean su\u1ed1t c\u00e1c l\u1edbp tr\u00ean, t\u1eeb r\u00fat g\u1ecdn bi\u1ec3u th\u1ee9c, gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh \u0111\u1ebfn vi\u1ebft s\u1ed1 khoa h\u1ecdc. B\u1ea1n s\u1ebd n\u1eafm \u0111\u01b0\u1ee3c \u0111\u1ecbnh ngh\u0129a, c\u00e1c t\u00ednh ch\u1ea5t quan tr\u1ecdng, quy \u01b0\u1edbc v\u1edbi s\u1ed1 m\u0169 0 v\u00e0 s\u1ed1 m\u0169 \u00e2m, c\u00f9ng lo\u1ea1t v\u00ed d\u1ee5 v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft ngay d\u01b0\u1edbi \u0111\u00e2y.<\/p>\n<h2>L\u0169y th\u1eeba l\u00e0 g\u00ec?<\/h2>\n<p>L\u0169y th\u1eeba b\u1eadc n c\u1ee7a s\u1ed1 a (v\u1edbi n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng) l\u00e0 t\u00edch c\u1ee7a n th\u1eeba s\u1ed1 b\u1eb1ng nhau, m\u1ed7i th\u1eeba s\u1ed1 \u0111\u1ec1u b\u1eb1ng a:<\/p>\n<ul>\n<li>a\u207f = a \u00b7 a \u00b7 \u2026 \u00b7 a (g\u1ed3m n th\u1eeba s\u1ed1 a)<\/li>\n<\/ul>\n<p>Trong \u0111\u00f3, a \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 c\u01a1 s\u1ed1, n \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 s\u1ed1 m\u0169. V\u00ed d\u1ee5, 2\u2074 = 2 \u00b7 2 \u00b7 2 \u00b7 2 = 16; 5\u00b3 = 5 \u00b7 5 \u00b7 5 = 125. C\u00e1ch vi\u1ebft l\u0169y th\u1eeba gi\u00fap r\u00fat g\u1ecdn nh\u1eefng ph\u00e9p nh\u00e2n c\u00f3 nhi\u1ec1u th\u1eeba s\u1ed1 gi\u1ed1ng nhau th\u00e0nh m\u1ed9t bi\u1ec3u th\u1ee9c ng\u1eafn g\u1ecdn, d\u1ec5 t\u00ednh v\u00e0 d\u1ec5 so s\u00e1nh h\u01a1n. Khi n = 2, a\u207f c\u00f2n g\u1ecdi l\u00e0 &#8220;a b\u00ecnh ph\u01b0\u01a1ng&#8221;; khi n = 3, g\u1ecdi l\u00e0 &#8220;a l\u1eadp ph\u01b0\u01a1ng&#8221;.<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-569102 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-la-gi-1.jpg\" alt=\"luy-thua-la-gi-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-la-gi-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-la-gi-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-la-gi-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00e1c t\u00ednh ch\u1ea5t c\u1ee7a l\u0169y th\u1eeba<\/h2>\n<p>N\u0103m t\u00ednh ch\u1ea5t d\u01b0\u1edbi \u0111\u00e2y l\u00e0 c\u00f4ng c\u1ee5 ch\u00ednh \u0111\u1ec3 r\u00fat g\u1ecdn v\u00e0 t\u00ednh nhanh c\u00e1c bi\u1ec3u th\u1ee9c ch\u1ee9a l\u0169y th\u1eeba c\u00f9ng c\u01a1 s\u1ed1.<\/p>\n<table>\n<thead>\n<tr>\n<th>T\u00ednh ch\u1ea5t<\/th>\n<th>C\u00f4ng th\u1ee9c<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Nh\u00e2n hai l\u0169y th\u1eeba c\u00f9ng c\u01a1 s\u1ed1<\/td>\n<td>a\u1d50 \u00b7 a\u207f = a\u1d50\u207a\u207f<\/td>\n<\/tr>\n<tr>\n<td>Chia hai l\u0169y th\u1eeba c\u00f9ng c\u01a1 s\u1ed1<\/td>\n<td>a\u1d50 : a\u207f = a\u1d50\u207b\u207f (a \u2260 0, m \u2265 n)<\/td>\n<\/tr>\n<tr>\n<td>L\u0169y th\u1eeba c\u1ee7a l\u0169y th\u1eeba<\/td>\n<td>(a\u1d50)\u207f = a\u1d50\u207f<\/td>\n<\/tr>\n<tr>\n<td>L\u0169y th\u1eeba c\u1ee7a m\u1ed9t t\u00edch<\/td>\n<td>(a\u00b7b)\u207f = a\u207f \u00b7 b\u207f<\/td>\n<\/tr>\n<tr>\n<td>L\u0169y th\u1eeba c\u1ee7a m\u1ed9t th\u01b0\u01a1ng<\/td>\n<td>(a\/b)\u207f = a\u207f \/ b\u207f (b \u2260 0)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00c1p d\u1ee5ng th\u1eed v\u1edbi bi\u1ec3u th\u1ee9c 2\u00b3 \u00b7 2\u2075 : 2\u2074: c\u1ed9ng s\u1ed1 m\u0169 \u1edf ph\u00e9p nh\u00e2n tr\u01b0\u1edbc (2\u00b3 \u00b7 2\u2075 = 2\u2078), r\u1ed3i tr\u1eeb s\u1ed1 m\u0169 \u1edf ph\u00e9p chia (2\u2078 : 2\u2074 = 2\u2074 = 16).<\/p>\n<h2>M\u1ed9t s\u1ed1 quy \u01b0\u1edbc quan tr\u1ecdng<\/h2>\n<ul>\n<li>S\u1ed1 m\u0169 b\u1eb1ng 1: a\u00b9 = a.<\/li>\n<li>S\u1ed1 m\u0169 b\u1eb1ng 0: a\u2070 = 1 (v\u1edbi a \u2260 0).<\/li>\n<li>S\u1ed1 m\u0169 nguy\u00ean \u00e2m: a\u207b\u207f = 1 \/ a\u207f (v\u1edbi a \u2260 0). V\u00ed d\u1ee5 2\u207b\u00b3 = 1\/2\u00b3 = 1\/8.<\/li>\n<\/ul>\n<p>Ri\u00eang bi\u1ec3u th\u1ee9c 0\u2070 kh\u00f4ng \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh trong ch\u01b0\u01a1ng tr\u00ecnh ph\u1ed5 th\u00f4ng, v\u00ec v\u1eady quy \u01b0\u1edbc a\u2070 = 1 ch\u1ec9 \u00e1p d\u1ee5ng khi a kh\u00e1c 0.<\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-569103 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-la-gi-2.jpg\" alt=\"luy-thua-la-gi-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-la-gi-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-la-gi-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-la-gi-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00e1ch t\u00ednh l\u0169y th\u1eeba qua v\u00ed d\u1ee5 t\u1eebng b\u01b0\u1edbc<\/h2>\n<p>Hai v\u00ed d\u1ee5 d\u01b0\u1edbi \u0111\u00e2y minh h\u1ecda c\u00e1ch ph\u1ed1i h\u1ee3p nhi\u1ec1u t\u00ednh ch\u1ea5t trong c\u00f9ng m\u1ed9t bi\u1ec3u th\u1ee9c, theo t\u1eebng b\u01b0\u1edbc.<\/p>\n<p><strong>V\u00ed d\u1ee5 1:<\/strong> T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a A = 2\u00b3 \u00b7 2\u00b2 : 2\u2074.<\/p>\n<ul>\n<li>B\u01b0\u1edbc 1: Nh\u00e2n hai l\u0169y th\u1eeba c\u00f9ng c\u01a1 s\u1ed1 \u1edf t\u1eed: 2\u00b3 \u00b7 2\u00b2 = 2\u00b3\u207a\u00b2 = 2\u2075.<\/li>\n<li>B\u01b0\u1edbc 2: Chia cho 2\u2074: 2\u2075 : 2\u2074 = 2\u2075\u207b\u2074 = 2\u00b9 = 2.<\/li>\n<li>V\u1eady A = 2.<\/li>\n<\/ul>\n<p><strong>V\u00ed d\u1ee5 2:<\/strong> T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a B = (2 \u00b7 3)\u00b2 : 3\u00b2.<\/p>\n<ul>\n<li>B\u01b0\u1edbc 1: \u00c1p d\u1ee5ng l\u0169y th\u1eeba c\u1ee7a m\u1ed9t t\u00edch: (2 \u00b7 3)\u00b2 = 2\u00b2 \u00b7 3\u00b2 = 4 \u00b7 9 = 36.<\/li>\n<li>B\u01b0\u1edbc 2: Chia cho 3\u00b2: 36 : 9 = 4.<\/li>\n<li>V\u1eady B = 4 (c\u0169ng ch\u00ednh b\u1eb1ng 2\u00b2, v\u00ec hai th\u1eeba s\u1ed1 3\u00b2 \u0111\u00e3 tri\u1ec7t ti\u00eau nhau).<\/li>\n<\/ul>\n<h2>M\u1ed9t s\u1ed1 v\u00ed d\u1ee5 t\u00ednh l\u0169y th\u1eeba kh\u00e1c<\/h2>\n<ul>\n<li>V\u00ed d\u1ee5 1: 3\u00b2 \u00b7 3\u2074 = 3\u00b2\u207a\u2074 = 3\u2076 = 729.<\/li>\n<li>V\u00ed d\u1ee5 2: (2\u00b3)\u00b2 = 2\u00b3\u02e3\u00b2 = 2\u2076 = 64.<\/li>\n<li>V\u00ed d\u1ee5 3: 10\u2075 : 10\u00b2 = 10\u2075\u207b\u00b2 = 10\u00b3 = 1.000.<\/li>\n<\/ul>\n<p><strong>Xem th\u00eam: <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/tiep-tuyen-la-gi\/\">Ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1<\/a><\/strong><\/p>\n<h2>B\u00e0i t\u1eadp v\u1eadn d\u1ee5ng c\u00f3 l\u1eddi gi\u1ea3i<\/h2>\n<ul>\n<li>B\u00e0i 1: T\u00ednh 2\u2075. <em>L\u1eddi gi\u1ea3i:<\/em> 2\u2075 = 2\u00b72\u00b72\u00b72\u00b72 = 32.<\/li>\n<li>B\u00e0i 2: R\u00fat g\u1ecdn 5\u00b3 \u00b7 5\u2074 : 5\u00b2. <em>L\u1eddi gi\u1ea3i:<\/em> = 5\u00b3\u207a\u2074\u207b\u00b2 = 5\u2075 = 3.125.<\/li>\n<li>B\u00e0i 3: T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a (2 \u00b7 3)\u00b2 v\u00e0 so s\u00e1nh v\u1edbi 2\u00b2 \u00b7 3\u00b2. <em>L\u1eddi gi\u1ea3i:<\/em> (2\u00b73)\u00b2 = 6\u00b2 = 36; 2\u00b2\u00b73\u00b2 = 4\u00b79 = 36; hai k\u1ebft qu\u1ea3 b\u1eb1ng nhau.<\/li>\n<li>B\u00e0i 4: Vi\u1ebft 3\u207b\u00b2 d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1. <em>L\u1eddi gi\u1ea3i:<\/em> 3\u207b\u00b2 = 1\/3\u00b2 = 1\/9.<\/li>\n<li>B\u00e0i 5: R\u00fat g\u1ecdn bi\u1ec3u th\u1ee9c (2\u2074)\u00b2 : 2\u2075. <em>L\u1eddi gi\u1ea3i:<\/em> B\u01b0\u1edbc 1: (2\u2074)\u00b2 = 2\u2074\u02e3\u00b2 = 2\u2078. B\u01b0\u1edbc 2: 2\u2078 : 2\u2075 = 2\u2078\u207b\u2075 = 2\u00b3 = 8.<\/li>\n<li>B\u00e0i 6 (tr\u1eafc nghi\u1ec7m): Gi\u00e1 tr\u1ecb c\u1ee7a 4\u2070 l\u00e0 bao nhi\u00eau? A. 0  B. 4  C. 1  D. 40. <em>\u0110\u00e1p \u00e1n:<\/em> C, v\u00ec a\u2070 = 1 v\u1edbi a kh\u00e1c 0.<\/li>\n<\/ul>\n<p><img decoding=\"async\" class=\"size-full wp-image-569104 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-la-gi-3.jpg\" alt=\"luy-thua-la-gi-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-la-gi-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-la-gi-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-la-gi-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>Nh\u1eefng l\u1ed7i sai th\u01b0\u1eddng g\u1eb7p khi t\u00ednh l\u0169y th\u1eeba<\/h2>\n<p>M\u1ed9t v\u00e0i nh\u1ea7m l\u1eabn d\u01b0\u1edbi \u0111\u00e2y r\u1ea5t ph\u1ed5 bi\u1ebfn khi m\u1edbi h\u1ecdc l\u0169y th\u1eeba, b\u1ea1n n\u00ean l\u01b0u \u00fd \u0111\u1ec3 tr\u00e1nh m\u1ea5t \u0111i\u1ec3m \u0111\u00e1ng ti\u1ebfc.<\/p>\n<ul>\n<li><strong>Nh\u1ea7m l\u0169y th\u1eeba v\u1edbi ph\u00e9p nh\u00e2n:<\/strong> 2\u00b3 kh\u00f4ng ph\u1ea3i l\u00e0 2 \u00d7 3 = 6, m\u00e0 l\u00e0 2 \u00d7 2 \u00d7 2 = 8.<\/li>\n<li><strong>Nh\u1ea7m d\u1ea5u tr\u1eeb tr\u01b0\u1edbc l\u0169y th\u1eeba:<\/strong> -2\u00b2 = -(2\u00b2) = -4 v\u00ec d\u1ea5u tr\u1eeb \u0111\u1ee9ng ngo\u00e0i, kh\u00f4ng thu\u1ed9c c\u01a1 s\u1ed1; trong khi (-2)\u00b2 = (-2) \u00b7 (-2) = 4 v\u00ec c\u1ea3 -2 n\u1eb1m trong ngo\u1eb7c.<\/li>\n<li><strong>Nh\u00e2n s\u1ed1 m\u0169 thay v\u00ec c\u1ed9ng:<\/strong> a\u1d50 \u00b7 a\u207f = a\u1d50\u207a\u207f (c\u1ed9ng s\u1ed1 m\u0169), kh\u00f4ng ph\u1ea3i a\u1d50\u02e3\u207f \u2014 nh\u00e2n hai s\u1ed1 m\u0169 ch\u1ec9 \u00e1p d\u1ee5ng cho l\u0169y th\u1eeba c\u1ee7a l\u0169y th\u1eeba (a\u1d50)\u207f.<\/li>\n<li><strong>Qu\u00ean \u0111i\u1ec1u ki\u1ec7n a \u2260 0:<\/strong> quy \u01b0\u1edbc a\u2070 = 1 v\u00e0 a\u207b\u207f = 1\/a\u207f ch\u1ec9 \u0111\u00fang khi a kh\u00e1c 0; ri\u00eang 0\u2070 kh\u00f4ng x\u00e1c \u0111\u1ecbnh.<\/li>\n<\/ul>\n<h2>L\u0169y th\u1eeba c\u1ee7a 10 v\u00e0 c\u00e1ch vi\u1ebft s\u1ed1 khoa h\u1ecdc<\/h2>\n<p>L\u0169y th\u1eeba c\u1ee7a 10 \u0111\u1eb7c bi\u1ec7t h\u1eefu \u00edch trong vi\u1ec7c vi\u1ebft g\u1ecdn nh\u1eefng s\u1ed1 r\u1ea5t l\u1edbn ho\u1eb7c r\u1ea5t nh\u1ecf d\u01b0\u1edbi d\u1ea1ng s\u1ed1 khoa h\u1ecdc. Theo \u0111\u00f3, m\u1ed9t s\u1ed1 \u0111\u01b0\u1ee3c vi\u1ebft d\u01b0\u1edbi d\u1ea1ng a \u00d7 10\u207f, v\u1edbi 1 \u2264 a &lt; 10 v\u00e0 n l\u00e0 s\u1ed1 nguy\u00ean.<\/p>\n<p>V\u00ed d\u1ee5, 3.500.000 = 3,5 \u00d7 10\u2076; c\u00f2n 0,0004 = 4 \u00d7 10\u207b\u2074. T\u01b0\u01a1ng t\u1ef1, kh\u1ed1i l\u01b0\u1ee3ng m\u1ed9t ph\u00e2n t\u1eed n\u01b0\u1edbc x\u1ea5p x\u1ec9 3 \u00d7 10\u207b\u00b2\u00b3 gam \u2014 n\u1ebfu vi\u1ebft \u0111\u1ee7 c\u00e1c ch\u1eef s\u1ed1 0 s\u1ebd r\u1ea5t d\u00e0i v\u00e0 d\u1ec5 nh\u1ea7m l\u1eabn. C\u00e1ch vi\u1ebft khoa h\u1ecdc gi\u00fap bi\u1ec3u di\u1ec5n kh\u1ed1i l\u01b0\u1ee3ng nguy\u00ean t\u1eed, kho\u1ea3ng c\u00e1ch thi\u00ean v\u0103n v\u00e0 c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng v\u1eadt l\u00fd m\u1ed9t c\u00e1ch ng\u1eafn g\u1ecdn, \u0111\u1ed3ng th\u1eddi gi\u00fap vi\u1ec7c so s\u00e1nh c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng tr\u1edf n\u00ean d\u1ec5 d\u00e0ng h\u01a1n.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-569105 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-la-gi-4.jpg\" alt=\"luy-thua-la-gi-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-la-gi-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-la-gi-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-la-gi-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>So s\u00e1nh hai l\u0169y th\u1eeba<\/h2>\n<p>\u0110\u1ec3 so s\u00e1nh hai l\u0169y th\u1eeba, ta c\u00f3 th\u1ec3 \u0111\u01b0a ch\u00fang v\u1ec1 c\u00f9ng c\u01a1 s\u1ed1 ho\u1eb7c c\u00f9ng s\u1ed1 m\u0169.<\/p>\n<ul>\n<li>N\u1ebfu hai l\u0169y th\u1eeba c\u00f3 c\u00f9ng c\u01a1 s\u1ed1 a &gt; 1 th\u00ec l\u0169y th\u1eeba c\u00f3 s\u1ed1 m\u0169 l\u1edbn h\u01a1n s\u1ebd c\u00f3 gi\u00e1 tr\u1ecb l\u1edbn h\u01a1n (v\u00ed d\u1ee5 2\u2075 &gt; 2\u00b3).<\/li>\n<li>N\u1ebfu hai l\u0169y th\u1eeba c\u00f3 c\u00f9ng s\u1ed1 m\u0169 th\u00ec l\u0169y th\u1eeba c\u00f3 c\u01a1 s\u1ed1 l\u1edbn h\u01a1n s\u1ebd c\u00f3 gi\u00e1 tr\u1ecb l\u1edbn h\u01a1n (v\u00ed d\u1ee5 5\u00b3 &gt; 3\u00b3).<\/li>\n<\/ul>\n<p>V\u00ed d\u1ee5 \u00e1p d\u1ee5ng: so s\u00e1nh 2\u2075 v\u00e0 4\u00b3. \u0110\u01b0a 4\u00b3 v\u1ec1 c\u01a1 s\u1ed1 2: 4\u00b3 = (2\u00b2)\u00b3 = 2\u2076. V\u00ec 2\u2076 &gt; 2\u2075 (c\u00f9ng c\u01a1 s\u1ed1 2, s\u1ed1 m\u0169 6 l\u1edbn h\u01a1n 5) n\u00ean 4\u00b3 &gt; 2\u2075. K\u1ef9 n\u0103ng \u0111\u01b0a v\u1ec1 c\u00f9ng c\u01a1 s\u1ed1 gi\u00fap so s\u00e1nh nhanh m\u00e0 kh\u00f4ng c\u1ea7n t\u00ednh h\u1ebft gi\u00e1 tr\u1ecb t\u1eebng l\u0169y th\u1eeba.<\/p>\n<h2>\u1ee8ng d\u1ee5ng c\u1ee7a l\u0169y th\u1eeba<\/h2>\n<p>L\u0169y th\u1eeba \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 vi\u1ebft g\u1ecdn nh\u1eefng s\u1ed1 r\u1ea5t l\u1edbn ho\u1eb7c r\u1ea5t nh\u1ecf, ch\u1eb3ng h\u1ea1n nh\u01b0 kh\u1ed1i l\u01b0\u1ee3ng nguy\u00ean t\u1eed v\u00e0 kho\u1ea3ng c\u00e1ch thi\u00ean v\u0103n \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n d\u01b0\u1edbi d\u1ea1ng l\u0169y th\u1eeba c\u1ee7a 10. Ngo\u00e0i ra, l\u0169y th\u1eeba c\u00f2n l\u00e0 n\u1ec1n t\u1ea3ng \u0111\u1ec3 t\u00ednh l\u00e3i k\u00e9p trong t\u00e0i ch\u00ednh, \u0111o c\u01b0\u1eddng \u0111\u1ed9 \u0111\u1ed9ng \u0111\u1ea5t theo thang Richter, v\u00e0 l\u00e0 c\u01a1 s\u1edf cho c\u00e1c ph\u00e9p to\u00e1n v\u1ec1 c\u0103n b\u1eadc hai, logarit \u1edf c\u00e1c l\u1edbp tr\u00ean.<\/p>\n<p><strong>Xem th\u00eam: <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/delta-delta-phay\/\">N\u1eafm V\u1eefng C\u00f4ng Th\u1ee9c Delta ; Delta Ph\u1ea9y: Ch\u00eca Kh\u00f3a Gi\u1ea3i Ph\u01b0\u01a1ng Tr\u00ecnh B\u1eadc Hai<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-569106 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-la-gi-5.jpg\" alt=\"luy-thua-la-gi-5\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-la-gi-5.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-la-gi-5-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/luy-thua-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 l\u0169y th\u1eeba<\/h2>\n<h3>L\u0169y th\u1eeba l\u00e0 g\u00ec?<\/h3>\n<p>L\u00e0 t\u00edch c\u1ee7a n th\u1eeba s\u1ed1 b\u1eb1ng nhau, m\u1ed7i th\u1eeba s\u1ed1 b\u1eb1ng c\u01a1 s\u1ed1 a: a\u207f = a \u00b7 a \u00b7 \u2026 \u00b7 a (n th\u1eeba s\u1ed1).<\/p>\n<h3>C\u00f4ng th\u1ee9c nh\u00e2n hai l\u0169y th\u1eeba c\u00f9ng c\u01a1 s\u1ed1 l\u00e0 g\u00ec?<\/h3>\n<p>Gi\u1eef nguy\u00ean c\u01a1 s\u1ed1, c\u1ed9ng c\u00e1c s\u1ed1 m\u0169: a\u1d50 \u00b7 a\u207f = a\u1d50\u207a\u207f.<\/p>\n<h3>a m\u0169 0 b\u1eb1ng bao nhi\u00eau?<\/h3>\n<p>B\u1eb1ng 1, v\u1edbi \u0111i\u1ec1u ki\u1ec7n a kh\u00e1c 0. Ri\u00eang 0\u2070 kh\u00f4ng x\u00e1c \u0111\u1ecbnh.<\/p>\n<h3>L\u0169y th\u1eeba v\u1edbi s\u1ed1 m\u0169 \u00e2m \u0111\u01b0\u1ee3c t\u00ednh nh\u01b0 th\u1ebf n\u00e0o?<\/h3>\n<p>a\u207b\u207f = 1\/a\u207f (a \u2260 0), t\u1ee9c l\u00e0 ngh\u1ecbch \u0111\u1ea3o c\u1ee7a l\u0169y th\u1eeba c\u00f9ng c\u01a1 s\u1ed1 v\u1edbi s\u1ed1 m\u0169 d\u01b0\u01a1ng.<\/p>\n<h3>(a\u1d50)\u207f b\u1eb1ng bao nhi\u00eau?<\/h3>\n<p>B\u1eb1ng a\u1d50\u207f, t\u1ee9c nh\u00e2n hai s\u1ed1 m\u0169 v\u1edbi nhau.<\/p>\n<h3>V\u00ec sao -2\u00b2 v\u00e0 (-2)\u00b2 l\u1ea1i cho k\u1ebft qu\u1ea3 kh\u00e1c nhau?<\/h3>\n<p>V\u00ec -2\u00b2 = -(2\u00b2) = -4 (d\u1ea5u tr\u1eeb \u0111\u1ee9ng ngo\u00e0i l\u0169y th\u1eeba), c\u00f2n (-2)\u00b2 = (-2) \u00b7 (-2) = 4 (c\u1ea3 -2 n\u1eb1m trong ngo\u1eb7c, thu\u1ed9c c\u01a1 s\u1ed1).<\/p>\n<h3>L\u0169y th\u1eeba \u0111\u01b0\u1ee3c \u1ee9ng d\u1ee5ng \u1edf \u0111\u00e2u trong th\u1ef1c t\u1ebf?<\/h3>\n<p>D\u00f9ng \u0111\u1ec3 vi\u1ebft g\u1ecdn s\u1ed1 r\u1ea5t l\u1edbn ho\u1eb7c r\u1ea5t nh\u1ecf (l\u0169y th\u1eeba c\u1ee7a 10, s\u1ed1 khoa h\u1ecdc), t\u00ednh l\u00e3i k\u00e9p, v\u00e0 l\u00e0 n\u1ec1n t\u1ea3ng c\u1ee7a c\u0103n b\u1eadc hai, logarit \u1edf c\u00e1c l\u1edbp tr\u00ean.<\/p>\n<p><script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[{\"@type\":\"Question\",\"name\":\"L\u0169y th\u1eeba l\u00e0 g\u00ec?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"L\u00e0 t\u00edch c\u1ee7a n th\u1eeba s\u1ed1 b\u1eb1ng nhau, m\u1ed7i th\u1eeba s\u1ed1 b\u1eb1ng c\u01a1 s\u1ed1 a: a\u207f = a \u00b7 a \u00b7 \u2026 \u00b7 a (n th\u1eeba s\u1ed1).\"}},{\"@type\":\"Question\",\"name\":\"C\u00f4ng th\u1ee9c nh\u00e2n hai l\u0169y th\u1eeba c\u00f9ng c\u01a1 s\u1ed1 l\u00e0 g\u00ec?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Gi\u1eef nguy\u00ean c\u01a1 s\u1ed1, c\u1ed9ng c\u00e1c s\u1ed1 m\u0169: a\u1d50 \u00b7 a\u207f = a\u1d50\u207a\u207f.\"}},{\"@type\":\"Question\",\"name\":\"a m\u0169 0 b\u1eb1ng bao nhi\u00eau?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"B\u1eb1ng 1, v\u1edbi \u0111i\u1ec1u ki\u1ec7n a kh\u00e1c 0. Ri\u00eang 0\u2070 kh\u00f4ng x\u00e1c \u0111\u1ecbnh.\"}},{\"@type\":\"Question\",\"name\":\"L\u0169y th\u1eeba v\u1edbi s\u1ed1 m\u0169 \u00e2m \u0111\u01b0\u1ee3c t\u00ednh nh\u01b0 th\u1ebf n\u00e0o?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"a\u207b\u207f = 1\/a\u207f (a \u2260 0), t\u1ee9c l\u00e0 ngh\u1ecbch \u0111\u1ea3o c\u1ee7a l\u0169y th\u1eeba c\u00f9ng c\u01a1 s\u1ed1 v\u1edbi s\u1ed1 m\u0169 d\u01b0\u01a1ng.\"}},{\"@type\":\"Question\",\"name\":\"(a\u1d50)\u207f b\u1eb1ng bao nhi\u00eau?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"B\u1eb1ng a\u1d50\u207f, t\u1ee9c nh\u00e2n hai s\u1ed1 m\u0169 v\u1edbi nhau.\"}},{\"@type\":\"Question\",\"name\":\"V\u00ec sao -2\u00b2 v\u00e0 (-2)\u00b2 l\u1ea1i cho k\u1ebft qu\u1ea3 kh\u00e1c nhau?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"V\u00ec -2\u00b2 = -(2\u00b2) = -4 (d\u1ea5u tr\u1eeb \u0111\u1ee9ng ngo\u00e0i l\u0169y th\u1eeba), c\u00f2n (-2)\u00b2 = (-2) \u00b7 (-2) = 4 (c\u1ea3 -2 n\u1eb1m trong ngo\u1eb7c, thu\u1ed9c c\u01a1 s\u1ed1).\"}},{\"@type\":\"Question\",\"name\":\"L\u0169y th\u1eeba \u0111\u01b0\u1ee3c \u1ee9ng d\u1ee5ng \u1edf \u0111\u00e2u trong th\u1ef1c t\u1ebf?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"D\u00f9ng \u0111\u1ec3 vi\u1ebft g\u1ecdn s\u1ed1 r\u1ea5t l\u1edbn ho\u1eb7c r\u1ea5t nh\u1ecf (l\u0169y th\u1eeba c\u1ee7a 10, s\u1ed1 khoa h\u1ecdc), t\u00ednh l\u00e3i k\u00e9p, v\u00e0 l\u00e0 n\u1ec1n t\u1ea3ng c\u1ee7a c\u0103n b\u1eadc hai, logarit \u1edf c\u00e1c l\u1edbp tr\u00ean.\"}}]}\n<\/script><\/p>\n<h2>K\u1ebft lu\u1eadn<\/h2>\n<p>T\u00f3m l\u1ea1i, l\u0169y th\u1eeba a\u207f l\u00e0 t\u00edch c\u1ee7a n th\u1eeba s\u1ed1 b\u1eb1ng a, v\u1edbi c\u00e1c t\u00ednh ch\u1ea5t nh\u00e2n\/chia\/l\u0169y th\u1eeba c\u1ee7a l\u0169y th\u1eeba gi\u00fap r\u00fat g\u1ecdn v\u00e0 t\u00ednh nhanh bi\u1ec3u th\u1ee9c. Ghi nh\u1edb quy \u01b0\u1edbc a\u2070 = 1, a\u207b\u207f = 1\/a\u207f v\u00e0 ph\u00e2n bi\u1ec7t -a\u207f v\u1edbi (-a)\u207f s\u1ebd gi\u00fap b\u1ea1n tr\u00e1nh nh\u1eefng l\u1ed7i sai th\u01b0\u1eddng g\u1eb7p khi l\u00e0m b\u00e0i. \u0110\u1ec3 h\u1ecdc th\u00eam, m\u1eddi b\u1ea1n tham kh\u1ea3o c\u00e1c b\u00e0i <strong><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 l\u00e0 g\u00ec<\/a>, <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/cong-thuc-to-hop-chinh-hop\/\">c\u00f4ng th\u1ee9c t\u1ed5 h\u1ee3p, ch\u1ec9nh h\u1ee3p<\/a><\/strong> v\u00e0 <strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/1-nam-anh-sang-bang-bao-nhieu-km\/\">m\u1ed9t n\u0103m \u00e1nh s\u00e1ng b\u1eb1ng bao nhi\u00eau km<\/a><\/strong> tr\u00ean <strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/\">chuy\u00ean m\u1ee5c tin t\u1ee9c c\u1ee7a Ho\u00e0ng H\u00e0 Mobile<\/a><\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>L\u0169y th\u1eeba b\u1eadc n c\u1ee7a m\u1ed9t s\u1ed1 a l\u00e0 t\u00edch c\u1ee7a n th\u1eeba s\u1ed1 b\u1eb1ng nhau, m\u1ed7i th\u1eeba s\u1ed1 \u0111\u1ec1u b\u1eb1ng a, vi\u1ebft g\u1ecdn l\u00e0 a\u207f = a \u00b7 a \u00b7 \u2026 \u00b7 a (n th\u1eeba s\u1ed1). Trong c\u00e1ch vi\u1ebft n\u00e0y, a g\u1ecdi l\u00e0 c\u01a1 s\u1ed1, n g\u1ecdi l\u00e0 s\u1ed1 m\u0169, v\u00e0 bi\u1ec3u th\u1ee9c a\u207f [&hellip;]<\/p>\n","protected":false},"author":65,"featured_media":569101,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"l\u0169y th\u1eeba l\u00e0 g\u00ec","_yoast_wpseo_title":"L\u0169y th\u1eeba l\u00e0 g\u00ec? T\u00ednh ch\u1ea5t v\u00e0 c\u00e1ch t\u00ednh","_yoast_wpseo_metadesc":"L\u0169y th\u1eeba l\u00e0 g\u00ec? \u0110\u1ecbnh ngh\u0129a, c\u00f4ng th\u1ee9c, c\u00e1c t\u00ednh ch\u1ea5t, s\u1ed1 m\u0169 0 v\u00e0 s\u1ed1 m\u0169 \u00e2m, v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i t\u1eebng b\u01b0\u1edbc c\u00f9ng b\u00e0i t\u1eadp l\u0169y th\u1eeba chi ti\u1ebft, d\u1ec5 hi\u1ec3u.","footnotes":""},"categories":[16],"tags":[],"class_list":["post-567210","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>L\u0169y th\u1eeba l\u00e0 g\u00ec? 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