# What is the simplified radical form of sqrt(8)?

Oct 12, 2015

=color(blue)(2sqrt2

#### Explanation:

Simplifying this expression involves prime factorisation of $8$

$8 = 2 \cdot 2 \cdot 2$

(2 is the prime factor of $8$)

So $\sqrt{8} = \sqrt{2 \cdot 2 \cdot 2}$

$= \sqrt{{2}^{2} \cdot 2}$

$= 2 \cdot \sqrt{2}$

=color(blue)(2sqrt2