# How do you simplify (5sqrt10)/sqrt2?

Feb 8, 2016

$5 \sqrt{5}$

#### Explanation:

To simplify this, we can rewrite the $\sqrt{10}$ as follows:

$\sqrt{10} = \sqrt{2 \cdot 5} = \sqrt{2} \sqrt{5}$

With that we know that the top of the fraction will be:

$\frac{5 \sqrt{2} \sqrt{5}}{\sqrt{2}}$

And now we can cancel the $\sqrt{2}$ to obtain:

$5 \sqrt{5}$