Solve 3/4-sqrt{1-3/4}

$$\frac { 3 } { 4 } - \sqrt { 1 - \frac { 3 } { 4 } }$$

Evaluate

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

Solution Steps

Convert 1 to fraction \frac{4}{4}.

$$\frac{3}{4}-\sqrt{\frac{4}{4}-\frac{3}{4}}$$

Since \frac{4}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{4}-\sqrt{\frac{4-3}{4}}$$

Subtract 3 from 4 to get 1.

$$\frac{3}{4}-\sqrt{\frac{1}{4}}$$

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.

$$\frac{3}{4}-\frac{1}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{3}{4}-\frac{2}{4}$$

Since \frac{3}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2}{4}$$

Subtract 2 from 3 to get 1.

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

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$