Evaluate square root of 1/64

Problem

√(,1/64)

Solution

1. Apply the quotient rule for square roots, which states that the square root of a fraction is the square root of the numerator divided by the square root of the denominator.

√(,1/64)=√(,1)/√(,64)

2. Evaluate the square root of the numerator. Since 1=1 the square root of 1 is 1

√(,1)/√(,64)=1/√(,64)

3. Evaluate the square root of the denominator. Since 8=64 the square root of 64 is 8

1/√(,64)=1/8

Final Answer

√(,1/64)=1/8

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