Evaluate cube root of 1/64

Problem

√(3,1/64)

Solution

1. Apply the radical property for quotients, which states that the root of a fraction is the root of the numerator divided by the root of the denominator.

√(3,1/64)=√(3,1)/√(3,64)

2. Evaluate the numerator by finding the number that, when multiplied by itself three times, equals 1

√(3,1)=1

3. Evaluate the denominator by identifying that 4×4×4=64

√(3,64)=4

4. Simplify the fraction by substituting the calculated values back into the expression.

1/4

Final Answer

√(3,1/64)=1/4

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