# What is 3/sqrt 3?

Sep 12, 2015

$\sqrt{3}$ which equals $1.73205080757$

#### Explanation:

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

We're just multiplying the fraction with $\frac{\sqrt{3}}{\sqrt{3}}$ (It's the same thing as $\frac{3}{\sqrt{3}}$ because $\frac{\sqrt{3}}{\sqrt{3}}$ is equal to one).

Now the numerator becomes $3 \times \sqrt{3}$ and the denominator becomes $3$, because $\sqrt{3} \times \sqrt{3} = \sqrt{3 \times 3} = 3$.

So now the fraction is $3 \times \frac{\sqrt{3}}{3}$

The numerator $3$ and denominator $3$ cancel each other and the answer is $\sqrt{3}$ or $1.73205080757$.