How do you simplify the radical expression by rationalizing the denominator 2/sqrt30?

Nov 19, 2016

$\frac{\sqrt{30}}{15}$

Explanation:

Rationalize $\frac{2}{\sqrt{30}}$

Multiply by $\frac{\sqrt{30}}{\sqrt{30}}$ (which equals one).

$\frac{2}{\sqrt{30}} \cdot \frac{\sqrt{30}}{\sqrt{30}} = \frac{2 \sqrt{30}}{\sqrt{900}} = \frac{2 \sqrt{30}}{30}$

The fraction $\frac{2}{30} = \frac{1}{15}$, so...

$\frac{2 \sqrt{30}}{30} = \frac{1 \sqrt{30}}{15} = \frac{\sqrt{30}}{15}$

The square root of $30$ cannot be further simplified because it has no factors which are perfect squares.