Solve sqrt{-4/3}

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

Evaluate (complex solution)

$$\frac{2\sqrt{3}i}{3}\approx 1.154700538i$$

Solution Steps

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

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

Calculate the square root of -4 and get 2i.

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

Rationalize the denominator of \frac{2i}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{2i\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

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

Divide 2i\sqrt{3} by 3 to get \frac{2}{3}i\sqrt{3}.

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

Real Part (complex solution)

$$0$$

Evaluate

$$\text{Indeterminate}$$