How do you simplify $5 \sqrt{\frac{5}{32}}$ $5sqrt(5/32)$ ?

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How do you simplify $5 \sqrt{\frac{5}{32}}$ $5sqrt(5/32)$ ?

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Answer 1 · 2016-04-19T20:18:20

$\frac{5 \sqrt{10}}{8}$ $(5sqrt(10))/8$

Explanation:

$5 \sqrt{\frac{5}{32}} = \frac{5 \sqrt{5}}{\sqrt{2^{5}}} = \frac{5 \sqrt{5 \times 2}}{\sqrt{2^{6}}} = \frac{5 \sqrt{10}}{2^{3}} = \frac{5 \sqrt{10}}{8}$ $5sqrt(5/32)=(5sqrt(5))/sqrt(2^5)=(5sqrt(5xx2))/sqrt(2^6)=(5sqrt(10))/2^3=(5sqrt(10))/8$

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How do you simplify $5 \sqrt{\frac{5}{32}}$ $5sqrt(5/32)$ ?

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