Evaluate square root of 25/81

Problem

√(,25/81)

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.

√(,25/81)=√(,25)/√(,81)

2. Evaluate the square root of the numerator by identifying the number that, when squared, equals 25

√(,25)=5

3. Evaluate the square root of the denominator by identifying the number that, when squared, equals 81

√(,81)=9

4. Combine the results into a single fraction.

5/9

Final Answer

√(,25/81)=5/9

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