Question

Simplify:
3sqrt of -8 + 5 sqrt of -18

Answer 1

\[3\sqrt{-8} + 5\sqrt{-18}\]

Is it this? Or if not, then can you please draw the problem?

Answer 2

yes it is!

Answer 3

Well this seems to have no solution b/c you can't find the square root of a negative radicand.

Answer 4

it would be an imaginary number right?

Answer 5

Hello

Answer 6

hello!

Answer 7

I am not too sure about imaginary numbers but i think that @SolomonZelman can help

Answer 8

\(\large\color{black}{ \displaystyle 3\sqrt{-8}+5\sqrt{-18} }\)

I would start from just getting the \(i\)'s out
\(\large\color{black}{ \displaystyle 3i\sqrt{8}+5i\sqrt{18} }\)

Answer 9

ok!

Answer 10

then, I can re-write that as:

\(\large\color{black}{ \displaystyle 3i\cdot\sqrt{4}\cdot \sqrt{2}+5i\cdot \sqrt{9}\cdot \sqrt{2} }\)

Answer 11

can you finish from here?

Answer 12

yes I can! @SolomonZelman , thank you!!!

Answer 13

yw