Calculate the square root of 0.25

Problem

√(,0.25)

Solution

1. Rewrite the decimal as a fraction to make the square root easier to identify.

√(,0.25)=√(,25/100)

2. Apply the quotient property of square roots, which states that the square root of a fraction is the square root of the numerator divided by the square root of the denominator.

√(,25/100)=√(,25)/√(,100)

3. Evaluate the square roots of the perfect squares in the numerator and the denominator.

√(,25)/√(,100)=5/10

4. Simplify the resulting fraction or convert it back into a decimal.

5/10=0.5

Final Answer

√(,0.25)=0.5

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