Square Roots Of Quotients

How Do We Take The Square Roots Of Quotients?

Before we move forward be sure you understand the basics. Recommended reading: Square Roots.

Abstract Example:

$\sqrt{(\frac{Variable(A)}{Variable(B)})}$
$\frac{\sqrt{Variable(A)}}{\sqrt{Variable(B)}}$
Practical Example:

$\sqrt{\frac{25}{5}}$
$\frac{\sqrt{25}}{\sqrt{5}}$
$\frac{\sqrt{5 x 5}}{\sqrt{5}}$
$\frac{5}{\sqrt{5}}$
An important note. Division by zero or by √0 is forbidden. This leads to an undefined result.

See More About Exponents And Powers Of Numbers