Question

How to get the square root of-32

Answer 1

We know that the square root of -32 does not exist in the real number, but we can obtain the complex solution as follows:

We proceed to calculate the square root as if it were a positive value, and since we know that:

$\sqrt{-1}=i$

Then:

$\begin{gathered} \sqrt{-32}=\sqrt{32(-1)}=4\sqrt{2(-1)} \\ \\ =4\sqrt{2}\sqrt{-1}=4\sqrt{2}i \end{gathered}$