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How to combine like radicals?
The problem is: 7squareroot2 + squareroot50 - 2 squareroot18
I would really appreciate your help
1 Answer
- 1 decade agoFavorite Answer
you need to get all of them to squareroot 2:
when factoring a radical, you need to break it down into its components:
ex. sqrt50 = sqrt25 * sqrt 2...50=25*2
you can simplify the sqrt25 part of the equation. this gives sqrt50 = 5sqrt2.
similarly, 2 sqrt 18 = 2(sqrt9 * sqrt2)
= 2(3 sqrt2)
= 6sqrt2.
7sqrt2 + 5sqrt2 - 2(3sqrt2)
=7sqrt2 + 5sqrt2 - 6sqrt2.
6sqrt2 is the answer.