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Algebra

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

8a^2?

  • Algebra -

    sqrt[(a+8)^2] = a+8 or -a-8

  • Algebra -

    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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