Гэта старонка не была вычытаная
Левы бок
![{\displaystyle {\bigg (}{\sqrt[{n}]{\dfrac {a}{b}}}{\bigg )}^{n}={\dfrac {a}{b}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4037a4603667672eacbd0ab603458e692b130c3f)
а правы, як ступень дробу:
![{\displaystyle {\bigg (}{\dfrac {\sqrt[{n}]{a}}{\sqrt[{n}]{b}}}{\bigg )}^{n}={\dfrac {{\big (}{\sqrt[{n}]{a}}{\big )}^{n}}{{\big (}{\sqrt[{n}]{b}}{\big )}^{n}}}={\dfrac {a}{b}};}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ac7b6886a6ef4e5c8725e6a1899c2ad2e905d227)
адкуль што й трэба было давесьці.
![{\displaystyle {\sqrt[{n}]{\dfrac {a}{b}}}={\dfrac {\sqrt[{n}]{a}}{\sqrt[{n}]{b}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e5959edfe5587bb3bce3dd6558205b122541a731)
На аснове дадзеных довадаў, можам сказаць: каб дабыць корань з адначлену, трэба дабыць корань з яго лікавых коэфіцыентаў, а паказальнікі паасобных літар падзяліць на паказальнік корня.
ПРЫКЛАДЫ:
|
|
![{\displaystyle {\sqrt[{3}]{-125a^{3}b^{12m}}}=-6a^{4}b^{2}c^{3p}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/abc41917912f8610e50310d20b07a2edf9645687)
![{\displaystyle {\sqrt[{4}]{\dfrac {16a^{12}b^{4-8p}}{81c^{8}}}}=\pm {\dfrac {2a^{3}b^{1-2p}}{3c^{2}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0544f39aca660d70eded2de6717f170c8176edc8)
Задачы.
| 55. | 56. | ||
| 57. | 58. | ||
| 59. | 60. | ||
| 61. | 62. | ||
| 63. | 64. | ||
| 66. | 67. | ||
| 68. | |||
| 69. | |||
| 70. | |||
| 71. | |||
![{\displaystyle {\sqrt {2^{2}}}+{\sqrt[{3}]{3^{3}}}+{\sqrt[{4}]{5^{4}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3f7a780422d1fb6d8c0e1088e753bf30310c8a3e)
![{\displaystyle {\sqrt[{6}]{2^{12}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/164dd67857087f7c49fb5e52abe5f3c0a8e97cf1)
![{\displaystyle {\sqrt[{4}]{3^{8}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6d555f30272d68ba5b998a6d073d29f0b76c2165)
![{\displaystyle {\sqrt[{3}]{8\cdot 3^{3}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/af10992aa101fa6a896e95875516e8022040b492)
![{\displaystyle {\sqrt[{n}]{a^{3n}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d0417abc225d4bdf83c404462912605afba20210)
![{\displaystyle {\sqrt[{4}]{a^{16}b^{8}c^{4}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/72f0a5c71ed070657686219632f3185a1dd4dce5)
![{\displaystyle {\sqrt[{-3}]{27}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a8ba68e07b410bb56ba3a3de910aa9da126ac686)
![{\displaystyle {\sqrt[{3}]{a^{-6}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f978f409cbb6bbf22c59915db370d3f26f204367)
![{\displaystyle {\sqrt[{3}]{0,027a^{6n-3}b^{18}c^{-6}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/fb7361639c4fea3877b93b3df5ab6f45c5edd125)
![{\displaystyle {\sqrt[{-2}]{\dfrac {a^{2}b^{2n-6}c^{-2n}}{4d^{-6}l^{-4n+2}}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7aa308e2dcbeb94ff7d37294bea5fb15427a846b)
![{\displaystyle 2ab^{2}{\sqrt {2a^{3}bc^{2}{\sqrt[{3}]{8a^{3}b^{9}c^{6}}}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/585cdd6fed0278ea7f953612e4f91519d0faa3bb)
