Question

What is the square root of -88?

Answer 1

88i

Answer 2

It will have a imaginary root

Answer 3

\[i \times 2 \sqrt{22}\]

Answer 4

I had 88i, but I'm not sure if that's what my teacher is looking for.
The square root of -169 simplified to 13i, so maybe the -88 simplifies more?

Answer 5

yes, it simplifies to
\[\sqrt{4}\times \sqrt{22}\]
The square root of 4 is 2. so the answer is
2(sqrt(22))i

Do you understand this?

Answer 6

How did you get 2 and 22?

Answer 7

I mean 4 and 22.

Answer 8

\[88 = 2 \times 2\times 2 \times 11\]

Answer 9

You can split up square roots like this:

sqrt(a) x sqrt(b) = sqrt(ab)

Does this make sense as to how I got 4 and 22?