Simplify square root of 35/36

Problem

√(,35/36)

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.

√(,35/36)=√(,35)/√(,36)

2. Evaluate the denominator by finding the square root of 36 which is a perfect square.

√(,36)=6

3. Check the numerator to see if √(,35) can be simplified. Since the prime factors of 35 are 5 and 7 there are no perfect square factors to remove.

√(,35)=√(,5⋅7)

4. Combine the results into a single simplified fraction.

√(,35)/6

Final Answer

√(,35/36)=√(,35)/6

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