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:

`√(-1)=i`

Then:

`\begin{gathered} √(-32)=√(32(-1))=4√(2(-1)) \\ \\ =4√(2)√(-1)=4√(2)i \end{gathered}`