Solve sqrt{24}i-4sqrt{6}i

$$\sqrt { 24 } i - 4 \sqrt { 6 } i$$

Evaluate

$$-2\sqrt{6}i\approx -0-4.898979486i$$

Solution Steps

Factor 24=2^{2}\times 6. Rewrite the square root of the product \sqrt{2^{2}\times 6} as the product of square roots \sqrt{2^{2}}\sqrt{6}. Take the square root of 2^{2}.

$$i\times 2\sqrt{6}-4i\sqrt{6}$$

Combine 2i\sqrt{6} and -4i\sqrt{6} to get -2i\sqrt{6}.

$$-2i\sqrt{6}$$

Real Part

$$0$$