Question

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

Answer 1

`sqrt(6*(5+2*sqrt(6)))`

Explanation:

Squaring both sides we get
`18+12+12*sqrt(6)=30+12*sqrt(6)`

Answer 2

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}`