Simplify square root of 1/49

Problem

√(,1/49)

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.

√(,1/49)=√(,1)/√(,49)

2. Evaluate the square root of the numerator. Since 1=1 the square root of 1 is 1

√(,1)=1

3. Evaluate the square root of the denominator. Since 7=49 the square root of 49 is 7

√(,49)=7

4. Combine the results to form the simplified fraction.

1/7

Final Answer

√(,1/49)=1/7

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