Simplify square root of 1/4

Problem

√(,1/4)

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.

√(,1/4)=√(,1)/√(,4)

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

√(,1)/√(,4)=1/√(,4)

3. Evaluate the square root of the denominator. Since 2=4 the square root of 4 is 2

1/√(,4)=1/2

Final Answer

√(,1/4)=1/2

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