Evaluate square root of 81/64

Problem

√(,81/64)

Solution

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

√(,81/64)=√(,81)/√(,64)

2. Evaluate the square root of the numerator by identifying the number that, when squared, equals 81

√(,81)=9

3. Evaluate the square root of the denominator by identifying the number that, when squared, equals 64

√(,64)=8

4. Combine the results into a single fraction.

9/8

Final Answer

√(,81/64)=9/8

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