# How do you simplify sqrt (24x^6y^7)/sqrt (6x^2y)?

Jan 26, 2016

The rule $\frac{\sqrt{m}}{\sqrt{n}}$ = $\sqrt{\frac{m}{n}}$ would apply to this problem

#### Explanation:

= $\frac{\sqrt{24 {x}^{6} {y}^{7}}}{\sqrt{6 {x}^{2} y}}$

= $\sqrt{\frac{24 {x}^{6} {y}^{7}}{6 {x}^{2} y}}$

When dividing variables with exponents you subtract the exponents with equal bases.

= $\sqrt{4 {x}^{4} {y}^{6}}$

= 2${x}^{2}$${y}^{3}$

Hopefully this helps!