# How do you simplify  3 sqrt 2 + 2sqrt3?

May 21, 2018

$\sqrt{6 \cdot \left(5 + 2 \cdot \sqrt{6}\right)}$

#### Explanation:

Squaring both sides we get
$18 + 12 + 12 \cdot \sqrt{6} = 30 + 12 \cdot \sqrt{6}$

May 21, 2018

Once all the square factors are pulled out if we're left with different radicals like here the terms don't "mix." So what we're given is arguably as simple as it's going to be:

$3 \sqrt{2} + 2 \sqrt{3}$