Evaluate square root of 16/81

Problem

√(,16/81)

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.

√(,16/81)=√(,16)/√(,81)

2. Evaluate the square root of the numerator by finding the number that, when multiplied by itself, equals 16.

√(,16)=4

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.

4/9

Final Answer

√(,16/81)=4/9

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