# How do you simplify sqrt(21/4)?

Mar 26, 2018

$\frac{\sqrt{21}}{2}$

#### Explanation:

$\sqrt{\frac{21}{4}}$ is equivalent to $\frac{\sqrt{21}}{\sqrt{4}}$. $\sqrt{21}$ cannot simplify since it has no factors that can be square rooted and it cannot be square rooted itself.

However, we know that $\sqrt{4} = 2$.

So the final answer is $\frac{\sqrt{21}}{2}$.

Hope this helps!