# How do you simplify sqrt84?

Apr 4, 2016

$= 2 \sqrt{21}$

#### Explanation:

$\sqrt{84}$

We first prime factorise $84$ ( express it as a product of prime factors)

$\sqrt{84} = \sqrt{2 \cdot 2 \cdot 3 \cdot 7}$

$= \sqrt{{2}^{2} \cdot 3 \cdot 7}$

$= \sqrt{{2}^{2} \cdot 21}$

$= 2 \sqrt{21}$