Evaluate square root of 1/5

Problem

√(,1/5)

Solution

1. Apply the quotient rule for radicals, which states that the square root of a fraction is the square root of the numerator divided by the square root of the denominator.

√(,1/5)=√(,1)/√(,5)

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

√(,1)/√(,5)=1/√(,5)

3. Rationalize the denominator by multiplying both the numerator and the denominator by √(,5) to remove the radical from the bottom.

1/√(,5)⋅√(,5)/√(,5)

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

(1⋅√(,5))/(√(,5)⋅√(,5))=√(,5)/5

Final Answer

√(,1/5)=√(,5)/5

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