Solve sqrt{1-1/4}

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

Evaluate

$$\frac{\sqrt{3}}{2}\approx 0.866025404$$

Solution Steps

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

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

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

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

Subtract 1 from 4 to get 3.

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

Rewrite the square root of the division \sqrt{\frac{3}{4}} as the division of square roots \frac{\sqrt{3}}{\sqrt{4}}.

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

Calculate the square root of 4 and get 2.

$$\frac{\sqrt{3}}{2}$$