Solve 6sqrt{3}text{i}3sqrt{8}

$$6 \sqrt { 3 } \text { i } 3 \sqrt { 8 }$$

Evaluate

$$36\sqrt{6}i\approx 88.18163074i$$

Solution Steps

Multiply 3i and 6 to get 18i.

$$18i\sqrt{3}\sqrt{8}$$

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$18i\sqrt{3}\times 2\sqrt{2}$$

Multiply 18i and 2 to get 36i.

$$36i\sqrt{3}\sqrt{2}$$

To multiply \sqrt{3} and \sqrt{2}, multiply the numbers under the square root.

$$36i\sqrt{6}$$

Real Part

$$0$$