Evaluate square root of 1/6

Problem

√(,1/6)

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.

√(,1/6)=√(,1)/√(,6)

2. Simplify the numerator by calculating the square root of 1.

√(,1)/√(,6)=1/√(,6)

3. Rationalize the denominator by multiplying both the numerator and the denominator by √(,6) to remove the radical from the bottom.

1/√(,6)⋅√(,6)/√(,6)

4. Multiply the terms to find the final simplified form.

√(,6)/6

Final Answer

√(,1/6)=√(,6)/6

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