1 Answer

Nprd · Answer 1 · 2023-11-01T23:01:50+0000

We have the next expression

$\sqrt[]{32a^5b^(15)}$

In order to simplify we will factorize the expression in a next way

$\sqrt[]{4\cdot4\cdot2\cdot a^4\cdot b^(14)\cdot b}$
$\sqrt[]{4}\cdot\sqrt[]{4}\cdot\sqrt[]{2}\cdot\sqrt[]{a^4}\cdot\sqrt[]{b^(14)}\cdot\sqrt[]{ab}$

Then we simplify the results

$2\cdot2\cdot a^2\cdot b^7\cdot\sqrt[]{2ab}$
$4a^2b^7\sqrt[]{2ab}$

the simplification is

$4a^2b^7\sqrt[]{2ab}$

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