# How do you simplify sqrt(3/7)?

Mar 15, 2018

I guess you mean "rationalize". The answer is $\frac{\sqrt{21}}{7}$ .

#### Explanation:

$\sqrt{\frac{3}{7}}$
$\frac{\sqrt{3}}{\sqrt{7}}$
multiply both numerator and denominator by $\sqrt{7}$
$\frac{\sqrt{3}}{\sqrt{7}} \cdot \frac{\sqrt{7}}{\sqrt{7}}$
$\frac{\sqrt{21}}{7}$

That's it.
Hope it helps :)