Evaluate square root of 4/81

Problem

√(,4/81)

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.

√(,4/81)=√(,4)/√(,81)

2. Evaluate the square root of the numerator by finding the number that, when multiplied by itself, equals 4.

√(,4)=2

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.

2/9

Final Answer

√(,4/81)=2/9

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