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Evaluate square root of 1/81

Problem

√(,1/81)

Solution

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

√(,1/81)=√(,1)/√(,81)

  1. Evaluate the square root of the numerator, noting that 1=1

√(,1)=1

  1. Evaluate the square root of the denominator, noting that 9=81

√(,81)=9

  1. Combine the results to find the final simplified value.

1/9

Final Answer

√(,1/81)=1/9


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