Solve sqrt{0}+sqrt[3]{-27}-sqrt{1/4}

$$\sqrt { 0 } + \sqrt[ 3 ] { - 27 } - \sqrt { \frac { 1 } { 4 } }$$

Evaluate

$$-\frac{7}{2}=-3.5$$

Solution Steps

Calculate the square root of 0 and get 0.

$$0+\sqrt[3]{-27}-\sqrt{\frac{1}{4}}$$

Calculate \sqrt[3]{-27} and get -3.

$$0-3-\sqrt{\frac{1}{4}}$$

Subtract 3 from 0 to get -3.

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

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.

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

Subtract \frac{1}{2} from -3 to get -\frac{7}{2}.

$$-\frac{7}{2}$$

Factor

$$-\frac{7}{2} = -3\frac{1}{2} = -3.5$$