# How do you simplify sqrt70?

Apr 10, 2018

$\sqrt{70}$ is already in simplest form

#### Explanation:

The prime factorisation of $70$ is:

$70 = 2 \cdot 5 \cdot 7$

Since there are no square factors, $\sqrt{70}$ does not simplify.

In general, if you find a square factor ${a}^{2}$ where $a > 0$, then:

$\sqrt{{a}^{2} b} = \sqrt{{a}^{2}} \sqrt{b} = a \sqrt{b}$