Evaluate square root of 9/25

Problem

√(,9/25)

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.

√(,9/25)=√(,9)/√(,25)

2. Evaluate the square root of the numerator, noting that 3=9

√(,9)=3

3. Evaluate the square root of the denominator, noting that 5=25

√(,25)=5

4. Combine the results into a single fraction.

3/5

Final Answer

√(,9/25)=3/5

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