How do you simplify 22/sqrt8?

Jun 7, 2018

$\frac{11 \sqrt{2}}{2}$

Explanation:

$\text{multiply numerator/denominator by } \sqrt{8}$

$\frac{22}{\sqrt{8}} \times \frac{\sqrt{8}}{\sqrt{8}} = \frac{22 \sqrt{8}}{8} = \frac{11 \sqrt{8}}{4}$

$\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2 \sqrt{2}$

$\frac{22}{\sqrt{8}} = \frac{11 \times 2 \sqrt{2}}{4} = \frac{11 \sqrt{2}}{2}$