Question

Please Help...
How can I simplify this expression 2 √-24+6 using the imaginary unit i

Answer 1

Alright lets work on this shall we? @Lrki

Answer 2

So we have \[2\sqrt{-24+6}\] right?

Answer 3

Yes

Answer 4

or is it \[2\sqrt{-24}+6\]

Answer 5

The 1st one or the second one?

Answer 6

The 1st

Answer 7

Okay so now we have \[2\sqrt{24+6}\]

Answer 8

Sorry with a negative in front.

Answer 9

My bad it's the second one.

Answer 10

Okay.

Answer 11

Now what we need to do is make the 24 into a positive and multiply it with -1 like this: \[2\sqrt{24(-1)}+6\]

Answer 12

Ok

Answer 13

Do you see what I did?

Answer 14

Yes

Answer 15

Would the answer be 6+4i √6

Answer 16

Now you want to separate the -1 into a separate square root \[2\sqrt{24}\sqrt{-1}+6\]

Answer 17

Well lets work it out I don't know the answer yet.

Answer 18

Now \[\sqrt{-1}\]

Answer 19

is equal to \[i\]

Answer 20

I got the answer thanks anyways.

Answer 21

Oh haha okay xDD

Answer 22

Sorry for the time.

Answer 23

Hope I helped anyway.

Answer 24

Have a great day!