Evaluate square root of (-4)^2

Problem

√(,(−4)2)

Solution

1. Evaluate the exponent inside the square root by squaring the number −4

(−4)2=(−4)⋅(−4)

(−4)2=16

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

√(,16)

3. Calculate the principal square root of 16 which is the non-negative number that, when squared, equals 16

√(,16)=4

Final Answer

√(,(−4)2)=4

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