Evaluate square root of 9/49

Problem

√(,9/49)

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.

√(,9/49)=√(,9)/√(,49)

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

√(,9)=3

3. Evaluate the square root of the denominator, noting that 7=49

√(,49)=7

4. Combine the results to form the simplified fraction.

3/7

Final Answer

√(,9/49)=3/7

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