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How do you simplify square root of 25(A+2)to the 2nd power?

1 Answer

Jun 2, 2018

$\sqrt{25 {(A + 2)}^{2}} = \pm 5 (A + 2)$ $sqrt(25(A+2)^2) = +-5(A+2)$

Explanation:

Your question is somewhat ambiguous as it is not clear whether "to the 2nd power" refers to $(A + 2)$ $(A+2)$ or the entire term.

I will assume we are looking for: $\sqrt{25 {(A + 2)}^{2}}$ $sqrt(25(A+2)^2)$

Expression $= \sqrt{25 {(A + 2)}^{2}}$ $= sqrt(25(A+2)^2)$

$= \sqrt{25} \cdot \sqrt{{(A + 2)}^{2}}$ $= sqrt25 * sqrt((A+2)^2)$

$= \pm 5 (A + 2)$ $= +-5(A+2)$

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