Evaluate square root of (-6)^2

Problem

√(,(−6)2)

Solution

1. Evaluate the exponent inside the square root by squaring the number −6

(−6)2=36

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

√(,36)

3. Calculate the principal square root of 36 which is the non-negative number that, when multiplied by itself, equals 36

√(,36)=6

Final Answer

√(,(−6)2)=6

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