SOLUTION: what is 4 times the square root of 2 plus 3 times the square root of 8?

Question 720688: what is 4 times the square root of 2 plus 3 times the square root of 8?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

Like radical terms have the same kinds of roots with the same radicands. ("Radicand" is the name for the expression inside a radical.) So these are not like terms and cannot be added (yet).

But the second square root's radicand has a perfect square factor so it will simplify:

After simplifying, we find that we now have like terms. (Both are square roots and both radicands are 2's.) So we can add them. And exactly like 4x + 6x = 10x:

adds up to

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