Evaluate square root of 64/81

Problem

√(,64/81)

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.

√(,64/81)=√(,64)/√(,81)

2. Evaluate the square root of the numerator by finding the number that, when multiplied by itself, equals 64

√(,64)=8

3. Evaluate the square root of the denominator by finding the number that, when multiplied by itself, equals 81

√(,81)=9

4. Combine the results into a single fraction.

8/9

Final Answer

√(,64/81)=8/9

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