Calculate the square root of 0.25

Problem

$\sqrt{0.25}$

Solution

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

$\sqrt{0.25}=\sqrt{\frac{25}{100}}$

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.

$\sqrt{\frac{25}{100}}=\frac{\sqrt{25}}{\sqrt{100}}$

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

$\frac{\sqrt{25}}{\sqrt{100}}=\frac{5}{10}$

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

$\frac{5}{10}=0.5$

Final Answer

$\sqrt{0.25}=0.5$

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