# How do you simplify 6/sqrt2?

May 14, 2018

$3 \sqrt{2}$

#### Explanation:

Multiply top and bottom by $\sqrt{2}$, this will remove the surf from the denominator and is called rationalising.

$\frac{6}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{6 \sqrt{2}}{2} = 3 \sqrt{2}$

May 14, 2018

$3 \sqrt{2}$

#### Explanation:

When rationalising the denominator, we multiply the numerator and denominator by the denominator.

$\Rightarrow \frac{6}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}$

$\Rightarrow \frac{6 \sqrt{2}}{2}$

$\Rightarrow 3 \sqrt{2}$