Question

If a, b, c are positive real numbers, then
$\sqrt[5]{312a {}^{10}b {}^{5} c {}^{10} } \: \: \: \: is \: equal \: to$
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Answer 1

Answer:

answer for the given problem is given

Answer 2

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$\sqrt[5]{3125 {a}^{10} {b}^{5} {c}^{10} } \\ = \sqrt[5]{ {(5)}^{5} { ({a}^{2} )}^{5} {(b)}^{5} {( {c}^{2} )}^{5} } \\ = \sqrt[5]{( {5 {a}^{2}b {c}^{2} ) }^{5} } \\ = {( {5 {a}^{2}b {c}^{2} ) }^{5 \times \frac{1}{5} } } \\ = 5 {a}^{2} b {c}^{2}$