# How do you simplify (8sqrt2)/(2sqrt8)?

Mar 19, 2018

$\implies \pm 2$

#### Explanation:

We can't factor out a perfect square out of the numerator, so it'll remain the same. Let's see what we can do with the denominator.

We can factor $\sqrt{8}$ into $\sqrt{2} \cdot \sqrt{4}$. Thus we have:

$\frac{8 \cancel{\sqrt{2}}}{2 \cancel{\sqrt{2}} \cdot \sqrt{4}}$

$\sqrt{2}$ obviously cancels with itself, and we get:

$\frac{8}{2 \sqrt{4}}$

Which can be simplified to

$\frac{8}{2 \cdot \pm 2}$

$\implies \frac{8}{\pm 4}$

$\implies \pm 2$