Simplify square root of 36/49

Problem

√(,36/49)

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.

√(,36/49)=√(,36)/√(,49)

2. Evaluate the square root of the numerator by identifying that 6×6=36

√(,36)=6

3. Evaluate the square root of the denominator by identifying that 7×7=49

√(,49)=7

4. Combine the results into a single simplified fraction.

6/7

Final Answer

√(,36/49)=6/7

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