Simplify square root of 1/9

Problem

√(,1/9)

Solution

1. Apply the quotient property of square roots, 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.

√(,1/9)=√(,1)/√(,9)

2. Evaluate the square root of the numerator. Since 1=1 the square root of 1 is 1

√(,1)/√(,9)=1/√(,9)

3. Evaluate the square root of the denominator. Since 3=9 the square root of 9 is 3

1/√(,9)=1/3

Final Answer

√(,1/9)=1/3

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