How do I solve this radical expression?

Question

anonymous · Answer

The expression is

anonymous · Answer

And the choices are:

anonymous · Answer

Expressions are not solved, only simplified.

anonymous · Answer

I don't see any common terms so it's hard to combine them

anonymous · Answer

my bad, i meant simplified haha

anonymous · Answer

Try simplifying the radicals by finding perfect square factors.

anonymous · Answer

like prime numbers?

anonymous · Answer

No, perfect squares are numbers that you can get rational square roots from, like 1, 4, 9, 16, 25, 36, etc.

anonymous · Answer

Check out 48 and 54.. try factoring them.

anonymous · Answer

54 would be 9 and 6 and 48 would be 16 and 3

anonymous · Answer

Right, so remember that the square root of a product is equal to the product of the square roots..

$\large \sqrt{54}=\sqrt{9}*\sqrt{6}$

$\large \sqrt{48}=\sqrt{16}*\sqrt{3}$

anonymous · Answer

3 square root of 6 and 4 square root of 3?

anonymous · Answer

Yep, now you have like terms to add.

anonymous · Answer

which ones?

anonymous · Answer

ohhh i get it

anonymous · Answer

i solved it and got b

anonymous · Answer

No, that can't work. If there were a √9, it would simplify to 3.

There are both groups of √3 and groups of √6

anonymous · Answer

my bad, they were sent in a different order than on my paper. it would be C on here