# How do you simplify 10/sqrt13?

May 9, 2018

$= \frac{10 \sqrt{13}}{13}$

#### Explanation:

The standard convention is to get an irrational number out of the denominator. We can do that by multiplying the top and bottom by $\frac{\sqrt{13}}{\sqrt{13}}$ to get

$\frac{10 \sqrt{13}}{\sqrt{13}} ^ 2$

$= \frac{10 \sqrt{13}}{13}$

Hope this helps!