Question

How do you simplify `3sqrt6-24+2sqrt150`?

Answer 1

`13sqrt6-24`

Explanation:

Please note that `150=25*6=5^2*6`
Therefore `2sqrt(150)=2*5sqrt6=10sqrt(6)`
Therefore `3sqrt6-24+2sqrt150= 13sqrt6-24`

We can, of course, write `24= 4*6=4(sqrt6)^2`,
but `(13-4sqrt6)sqrt6` can hardly be said to be more simplified.