Evaluate square root of 16/49

Problem

√(,16/49)

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.

√(,16/49)=√(,16)/√(,49)

2. Evaluate the square root of the numerator by finding the number that, when multiplied by itself, equals 16

√(,16)=4

3. Evaluate the square root of the denominator by finding the number that, when multiplied by itself, equals 49

√(,49)=7

4. Simplify the expression by substituting the calculated values back into the fraction.

4/7

Final Answer

√(,16/49)=4/7

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