Question

Express the number in the term of i:
8√-4

Answer 1

You can split this up as\[8\times \sqrt{4}\times \sqrt{-1}\]

Answer 2

What is the square root of 4?

Answer 3

hint: \(\bf \sqrt{-4}\implies \sqrt{4\cdot -1}\implies \sqrt{4}\cdot \sqrt{-1}\)

Answer 4

2

Answer 5

Then multiply that by 8...?

Answer 6

16

Answer 7

and what do you add at the end?

Answer 8

so 16i?

Answer 9

Yep :)

Answer 10

Thanks! Also I have one quick question if you can answer it @Brill

Answer 11

Sure go ahead

Answer 12

One question was -√-32, I ended up with -2√8i. Am I correct..?

Answer 13

Umm
No

Answer 14

Can you show me the steps?

Answer 15

So split them up
\[-1\times \sqrt{32}\times \sqrt{-1}\]

Answer 16

What is the square root of 32?

Answer 17

2√8

Answer 18

Go on
sqrt8 can be simplified more

Answer 19

8√2?

Answer 20

not quite
Let's split up the expression\[2\sqrt{4}\sqrt{2}\]

Answer 21

What is the square root of 4?

Answer 22

2

Answer 23

And 2 times 2?

Answer 24

4

Answer 25

So it's \[4\sqrt{2}\] right?

Answer 26

And then what's square root of -1?

Answer 27

Oh. I was adding instead of multiplying sorry :P

Answer 28

i

Answer 29

Oh yeah lol
So what's your answer now?

Answer 30

4√2i?

Answer 31

Well yes but to avoid confusion the i is usually kept next to the 4

Answer 32

Good job :)

Answer 33

Thanks. Am I allowed to open up another random question to give you a medal? I mean you earned it

Answer 34

Nah it's fine I don't really need it :)

Answer 35

Haha thanks :)