# How would you simplify (3 sqrt(5)) div sqrt(7)?

May 10, 2016

$\frac{3 \sqrt{35}}{7}$

#### Explanation:

Mathematical convention is to try and 'get rid' of any roots (radicals) that are in the denominator.

Write as:$\text{ } \frac{3 \sqrt{5}}{\sqrt{7}}$

Multiply by 1 but in the form of $1 = \frac{\sqrt{7}}{\sqrt{7}}$

$\frac{3 \sqrt{5}}{\sqrt{7}} \times \frac{\sqrt{7}}{\sqrt{7}} \text{ "=" } \frac{3 \sqrt{5} \times \sqrt{7}}{7}$

$\frac{3 \sqrt{5 \times 7}}{7} \text{ "=" } \frac{3 \sqrt{35}}{7}$