# What is the square root of 3 + the square root of 27?

Jul 12, 2015

=color(blue)( 4sqrt3

#### Explanation:

$\sqrt{27} = \sqrt{3 \cdot 3 \cdot 3} = 3 \sqrt{3}$

So, the square root of $3 +$ the square root of $27$

$= \sqrt{3} + \sqrt{27}$
$= \sqrt{3} + 3 \sqrt{3}$

=color(blue)( 4sqrt3