Question

Simplify the radical expression square root of 64y^10h^5/16y^12h^5

Answer 1

We assume the variables y and h to be positive.

$\sqrt{\dfrac{64y^{10}h^{5}}{16y^{12}h^{5}}} =$

$= \sqrt{\dfrac{64}{16} \times \dfrac{y^{10}}{y^{12}} \times \dfrac{h^{5}}{h^{5}}}$

$= \sqrt{4 \times \dfrac{1}{y^{2}} \times 1}$

$= \sqrt{\dfrac{4}{y^{2}}}$

$= \dfrac{2}{y}$