# How do you simplify radical 8?

Apr 3, 2018

$\sqrt{8} = \sqrt{4} \sqrt{2} = 2 \sqrt{2}$

#### Explanation:

When simplifying radical expressions, one should try to factor each radicand into a product of perfect squares.

Apr 3, 2018

$2 \sqrt{2}$

#### Explanation:

when using surd laws we know:

$\sqrt{a} b = \sqrt{a} \times \sqrt{b}$

Therefore:

$\sqrt{8} = \sqrt{4} \times \sqrt{2}$

Simplifying:

Using our squared numbers:

$\sqrt{4} = 2$

$\to \sqrt{8} = 2 \sqrt{2}$

As you still have $\sqrt{2}$ and then you stick the $2$ in front of the root