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Evaluate square root of (-5)^2

Problem

√(,(−5)2)

Solution

  1. Evaluate the exponent inside the square root by squaring the number −5

(−5)2=25

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

√(,25)

  1. Calculate the principal square root of 25 which is the non-negative value that, when squared, equals 25

√(,25)=5

Final Answer

√(,(−5)2)=5


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