# How do you simplify 2/sqrt(5) ?

Apr 18, 2018

$\sqrt{\frac{4}{5}}$

#### Explanation:

Just turn two into the square root of four so you go from this:

$\frac{2}{\sqrt{5}}$

to this:

$\frac{\sqrt{4}}{\sqrt{5}}$

Now you can put the square root infornt of them to get:

$\sqrt{\frac{4}{5}}$

And that is pretty much it.

Apr 18, 2018

$\frac{2 \sqrt{5}}{5} = \frac{2}{5} \sqrt{5}$

#### Explanation:

$\textcolor{b l u e}{\text{rationalise the denominator}}$

$\text{that is remove the radical from the denominator}$

$\text{This is done by multiplying numerator/denominator}$
$\text{by the radical on the denominator}$

$\text{note that } \sqrt{a} \times \sqrt{a} = a$

$\Rightarrow \frac{2}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}} = \frac{2 \sqrt{5}}{5} = \frac{2}{5} \sqrt{5}$