# How do you simplify 2√2 ÷ 8√2?

Jul 24, 2015

You look for numbers that can be found both on the denominator, and on the numerator.

#### Explanation:

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

RIght from the start, $\sqrt{2}$ will cancel out because you have in both the numerator, and in the denominator.

The resulting fraction will be

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

Now, you know that $8$ can be written as

$8 = 4 \cdot 2$

which means that the fraction becomes

$\frac{\cancel{2}}{\cancel{2} \cdot 4} = \textcolor{g r e e n}{\frac{1}{4}}$