# How do you simplify sqrt8/ sqrt24?

Mar 22, 2015

Take a one big root as :
$\sqrt{\frac{8}{24}} =$ and simplyfy getting:
$= \sqrt{\frac{1}{3}} = \frac{\sqrt{1}}{\sqrt{3}} = \frac{1}{\sqrt{3}} = \frac{1}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} =$
The last operation is called rationalization and it is used to avoid roots in the denominator:
$= \frac{\sqrt{3}}{3}$