Evaluate square root of 49/25

Problem

√(,49/25)

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.

√(,49/25)=√(,49)/√(,25)

2. Evaluate the square root of the numerator by identifying that 7=49

√(,49)=7

3. Evaluate the square root of the denominator by identifying that 5=25

√(,25)=5

4. Combine the results into a single fraction.

7/5

Final Answer

√(,49/25)=7/5

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