Evaluate square root of (-7)^2

Problem

√(,(−7)2)

Solution

1. Evaluate the exponent inside the square root by squaring the number −7

(−7)2=(−7)⋅(−7)

(−7)2=49

2. Substitute the result back into the square root expression.

√(,49)

3. Calculate the principal square root of 49 which is the non-negative value that, when squared, equals 49

√(,49)=7

Final Answer

√(,(−7)2)=7

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