Evaluate cube root of 1/8

Problem

√(3,1/8)

Solution

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

√(3,1/8)=√(3,1)/√(3,8)

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 8 is a perfect cube, specifically 2

√(3,8)=2

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

1/2

Final Answer

√(3,1/8)=1/2

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