Evaluate square root of 10/90

Problem

√(,10/90)

Solution

1. Simplify the fraction inside the square root by dividing both the numerator and the denominator by their greatest common factor, which is 10

10/90=1/9

2. 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.

√(,1/9)=√(,1)/√(,9)

3. Evaluate the square roots of the numerator and the denominator.

√(,1)=1

√(,9)=3

Final Answer

√(,10/90)=1/3

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