# How do you simplify 7/sqrt7?

Jun 17, 2018

See a solution process below:

#### Explanation:

To simplify this we need to rationalize the denominator. This means to eliminate the radical from the denominator by multiplying by the appropriate form of $1$:

$\frac{7}{\sqrt{7}} \implies \frac{7}{\sqrt{7}} \times \frac{\sqrt{7}}{\sqrt{7}} \implies \frac{7 \times \sqrt{7}}{\sqrt{7} \times \sqrt{7}} \implies \frac{7 \sqrt{7}}{7} \implies \sqrt{7}$

Jun 17, 2018

$\sqrt{7.}$

#### Explanation:

$\frac{7}{\sqrt{7}} \times \frac{\sqrt{7}}{\sqrt{7}}$

$\Rightarrow \frac{7 \sqrt{7}}{\sqrt{49}}$

$\Rightarrow \frac{7 \sqrt{7}}{7}$

$\Rightarrow \frac{\cancel{7} \sqrt{7}}{\cancel{7}}$

$\Rightarrow \sqrt{7}$