Solve sqrt{9-27/4}

$$\sqrt { 9 - \frac { 27 } { 4 } }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Convert 9 to fraction \frac{36}{4}.

$$\sqrt{\frac{36}{4}-\frac{27}{4}}$$

Since \frac{36}{4} and \frac{27}{4} have the same denominator, subtract them by subtracting their numerators.

$$\sqrt{\frac{36-27}{4}}$$

Subtract 27 from 36 to get 9.

$$\sqrt{\frac{9}{4}}$$

Rewrite the square root of the division \frac{9}{4} as the division of square roots \frac{\sqrt{9}}{\sqrt{4}}. Take the square root of both numerator and denominator.

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

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$