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Video: Simplifying Numerical Expressions Involving Square Roots

Kathryn Kingham

Simplify (−2 + √6) + (8 − √6).

01:18

Video Transcript

Simplify negative two plus the square root of six plus eight minus the square root of six.

Almost immediately I recognize that we’re going to need to regroup some of these addition problems. The associative property of addition lets us do that. So first, we’ll get rid of the parentheses. And then, we’ll use the communitive property of addition, which tells us we can move these add-ins around.

We can say negative two plus eight plus the square root of six minus the square root of six. From here, we can add negative two plus eight, which equals six. And then we can say that the square root of six minus the square root of six will be equal to zero. Positive square root of six and negative square root of six cancel each other out. The simplified form of the expression given above is six.