Solve frac{4sqrt{12}i}{2}

$$\frac { 4 \sqrt { 12 } i } { 2 }$$

Evaluate

$$4\sqrt{3}i\approx 6.92820323i$$

Solution Steps

Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.

$$\frac{4i\times 2\sqrt{3}}{2}$$

Multiply 4i and 2 to get 8i.

$$\frac{8i\sqrt{3}}{2}$$

Divide 8i\sqrt{3} by 2 to get 4i\sqrt{3}.

$$4i\sqrt{3}$$

Real Part

$$0$$