# What is the square root of 27 plus the square root of 12?

= color(blue)(5sqrt3
$\sqrt{27} = \sqrt{3 \cdot 3 \cdot 3} = 3 \sqrt{3}$
$\sqrt{12} = \sqrt{2 \cdot 2 \cdot 3} = 2 \sqrt{3}$
3sqrt3 + 2sqrt3 = color(blue)(5sqrt3