Homework Help: Algebra

Posted by Micah on Monday, February 25, 2008 at 7:43pm.

Find the following. Assume that variables can represent any real number.
SqRt(a+8)^2=

8a^2?

Algebra - drwls, Monday, February 25, 2008 at 8:05pm
sqrt[(a+8)^2] = a+8 or -a-8
Algebra - Christiaan, Monday, February 25, 2008 at 8:08pm
No, when we take the sqrt of a squared term, we get that term, or its negative.

So, sqrt(x²)=x or sqrt(x²)=-x

So for this question we get that:

sqrt((a+8)²)=a+8 or sqrt((a+8)²)=-a-8

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