Simplify the root below \frac{a}{b} \sqrt[]{ \frac{405}{324} }

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Simplify the root below
\frac{a}{b} \sqrt[]{ \frac{405}{324} }

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7 votes

Answer:

(√5)/2

Explanation:

To simplify the root, we remove perfect squares.

Factors that are the same in numerator and denominator cancel. A square under the radical can have its root brought out of the radical.

$\sqrt{(405)/(324)}=\sqrt{(9^2\cdot5)/(9^2\cdot2^2)}=\boxed{(√(5))/(2)}$

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