Question

use the quotient rule to simplify. assume all variables repres\sqrt{\frac{6y^{5}}{96y}}\sqrt{\frac{6y^{5}}{96y}} = \square(simplify your answer. type an exact answer, using radicals as

Explanation:

Step1: Simplify the fraction inside

$\sqrt{\frac{6y^5}{96y}} = \sqrt{\frac{y^{5-1}}{16}} = \sqrt{\frac{y^4}{16}}$

Step2: Split root into numerator/denominator

$\sqrt{\frac{y^4}{16}} = \frac{\sqrt{y^4}}{\sqrt{16}}$

Step3: Simplify each square root

$\frac{\sqrt{y^4}}{\sqrt{16}} = \frac{y^2}{4}$

Answer:

$\frac{y^2}{4}$