Question

what is the simplified form of \\( \sqrt{\frac{72x^{16}}{50x^{36}}} \\)? assume \\( x \
eq 0 \\). \\( \circ \frac{6}{5x^{10}} \\) \\( \circ \frac{6}{5x^2} \\) \\( \circ \frac{6}{5}x^{10} \\) \\( \circ \frac{6}{5}x^2 \\)

Explanation:

Step1: Simplify the fraction inside

$\sqrt{\frac{72x^{16}}{50x^{36}}} = \sqrt{\frac{36}{25x^{20}}}$

Step2: Take square root of numerator and denominator

$\frac{\sqrt{36}}{\sqrt{25x^{20}}} = \frac{6}{5x^{10}}$

Answer:

A. $\frac{6}{5x^{10}}$