# How do you simplify 8/sqrt2?

##### 1 Answer
Feb 19, 2016

$4 \sqrt{2}$

#### Explanation:

A simplified version will be of the form $a \sqrt{b} \text{ where a is a rational number}$

Note : $\sqrt{a} \times \sqrt{a} = a : \text{example} \sqrt{100} \times \sqrt{100} = 10 \times 10 = 100$

To simplify this expression multiply numerator and denominator by $\sqrt{2}$

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