# How do you simplify sqrt5sqrt7?

Feb 25, 2017

$\sqrt{35}$

#### Explanation:

Both 5 and 7 are prime numbers so the numbers can not be simplified further independently

However $5 \times 7 = 35$ so you could classify 35 as a simplification of $5 \times 7$

This is why that is important.

$\sqrt{5} \sqrt{7}$ is the same as $\sqrt{5 \times 7} = \sqrt{35}$