Solve (1/2)^2-sqrt{1/4}=

$$( \frac { 1 } { 2 } ) ^ { 2 } - \sqrt { \frac { 1 } { 4 } } =$$

Evaluate

$$-\frac{1}{4}=-0.25$$

Solution Steps

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$\frac{1}{4}-\sqrt{\frac{1}{4}}$$

Rewrite the square root of the division \frac{1}{4} as the division of square roots \frac{\sqrt{1}}{\sqrt{4}}. Take the square root of both numerator and denominator.

$$\frac{1}{4}-\frac{1}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{1}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{1}{4}-\frac{2}{4}$$

Since \frac{1}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-2}{4}$$

Subtract 2 from 1 to get -1.

$$-\frac{1}{4}$$

Factor

$$-\frac{1}{4} = -0.25$$