Solve sqrt{1-1/2/2}

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

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Convert 1 to fraction \frac{2}{2}.

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

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

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

Subtract 1 from 2 to get 1.

$$\sqrt{\frac{\frac{1}{2}}{2}}$$

Express \frac{\frac{1}{2}}{2} as a single fraction.

$$\sqrt{\frac{1}{2\times 2}}$$

Multiply 2 and 2 to get 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.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$