Evaluate cube root of 5/64

Problem

√(3,5/64)

Solution

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

√(3,5/64)=√(3,5)/√(3,64)

2. Evaluate the denominator by finding the cube root of 64 Since 4×4×4=64 the cube root is 4

√(3,64)=4

3. Simplify the expression by substituting the value of the denominator back into the fraction.

√(3,5)/4

Final Answer

√(3,5/64)=√(3,5)/4

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