Question

$\sqrt{ {(a.}^{2 {}^{} } } {b)}^{5}$
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Answer 1

$\sqrt{{({a}^{2}.b)}^{5}}=\sqrt{{a}^{10}.{b}^{5}}$

$\sqrt{{({a}^{2}.b)}^{5}}=\sqrt{{a}^{10}.{b}^{4}.b}=\color{lime}{a}^{5}.{b}^{2}.\sqrt{b}\color{blue}{\checkmark}$