Evaluate square root of 6/49

Problem

√(,6/49)

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.

√(,a/b)=√(,a)/√(,b)

2. Substitute the values from the expression into the rule.

√(,6/49)=√(,6)/√(,49)

3. Evaluate the square root in the denominator, noting that 49 is a perfect square (7=49.

√(,49)=7

4. Simplify the expression by replacing the denominator with its calculated value. Since 6 has no perfect square factors, the numerator remains √(,6)

√(,6)/7

Final Answer

√(,6/49)=√(,6)/7

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