Question

Hi I need help with this question, please and thank you

Answer 1

$14\sqrt[]{6}i$

1) Let's rewrite it into the z=a +bi form.

2) So we can write out the following noticing that i² =-1 as well as √-1=i

$\begin{gathered} \sqrt[]{-1176}=\sqrt[]{-1}\cdot\sqrt[]{1176} \\ Factoring \\ \sqrt[]{-1}\cdot14\sqrt[]{6} \\ i\cdot14\sqrt[]{6} \\ 14\sqrt[]{6}i \end{gathered}$

Note that in this number the real part "a" is equal to 0.