Evaluate square root of 4/49

Problem

√(,4/49)

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.

√(,4/49)=√(,4)/√(,49)

2. Evaluate the square root of the numerator, noting that 2=4

√(,4)=2

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

√(,49)=7

4. Combine the results into a single fraction.

2/7

Final Answer

√(,4/49)=2/7

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