Math Worksheets

Question: I need help with Algebra, Imaginary expressions?

Alright. So I’ve missed 3 days of school so far, and I’m a little worried about catching up in math… My teacher emailed me the notes, but she usually does the examples for them up on the board. So I have the examples, but no answer for them or how to solve. What we’re doing right now is “simplifying complex number expressions”

Right now, we’re talking about imaginary numbers, I guess… The square root of a negative number…

So, one example is

-24 (With one of those little check mark line things above it.. I don’t know what it’s called)
And I’m not sure how to do it. I know from a different example that -3=i. And the answer is 3.
Another one was -4=i. And 2i is the answer.

So, how would I do the ones I’m having trouble with? I have a whole worksheet to do on this and I’m stuck!
Can someone please explain how to solve:

1) -24
2) -15
3) -64

Thanks you!

Answer: Here is the trick, a negative= i
so -1=i
so square root(the check mark thing) -24
so you have to pull out the i
so it would be i check mark 24
and the square root of 24 is 4 times 6 so 2×2x2×3 so the answer is:
2i check mark 6

check mark -15
again, pull out the i (which is the negative one, got it?)
i check mark 15
since 15 can’t reduce anymore for a square root, that is your answer

-64
this one is easy
pull out the i
so its i check mark 64
and what is the square root of 64?
It’s 8
so the answer is 8i

I.M. me if you are having trouble

Hope I helped!

Graphing an Inequality on a Number Line