Question

PLEASEE HELP PLEASE!!!:

1. (-1+i √5)^2
2. (2-3i √2)^2

Answer 1

are they supposed to be equal?

Answer 2

No, they're two seperate problems

Answer 3

Sorry for the confusion

Answer 4

no problem hang on a sec kk?

Answer 5

Ok, thanks

Answer 6

the first one should be i*4.84
the second should be i*1.96

Answer 7

How did you figure those out?

Answer 8

I checked the answers at the back of my textbook and it says -4-2i√5. Is that the same thing?

Answer 9

yes but more complicated(:

Answer 10

Oh, ok. But how did you get those answers anyways?

Answer 11

step by step lol your book should tell you

Answer 12

It doesn't have an example on this type. I don't know how to solve it with a square root.

Answer 13

What?

Answer 14

Can you show me how you solved it step by step?

Answer 15

I can!

Answer 16

Ok :o

Answer 17

only cuz of your adorable pikachus though :D

Answer 18

xD Thank you

Answer 19

do you know what \[i^2 \] is?

Answer 20

yes -1

Answer 21

ok, so..... \[(-1+i+\sqrt{5})^2\] that's it?

Answer 22

That's it?

Answer 23

is that the problem in your book?

Answer 24

\[(-1+i \sqrt{5})^{2}\]

Answer 25

It's that

Answer 26

ok thanks

Answer 27

so we square everything inside the parentheses. to get

-4

Answer 28

because -1^2 = 1 and i^2 = -1 and sqrt(5)^2 = 5 right?

Answer 29

Yeah

Answer 30

so the answer should be -4.....imo

Answer 31

is there something about the problem I'm missing?

Answer 32

But the answers in my textbook say it's -4-2i√5. Or is your answer and the textbook's the same thing?

Answer 33

they aren't

Answer 34

mine is simplifying the expression..... is that what your book is asking for

Answer 35

The textbook says multiply

Answer 36

....omg I'm so sorry

Answer 37

*facepalm* I'm tired. gonna head to bed after I finish helping you

Answer 38

\[(-1+i \sqrt{5})(-1+i \sqrt{5})\]

Answer 39

foil

Answer 40

1+i√5^2?

Answer 41

ok, F.O.I.L. Front, Outside, Inside, Last

Answer 42

so first we multiply -1 by -1

Answer 43

ok we get 1
next we mutiply \[-1*i \sqrt{5}\]

Answer 44

then we do the same thing again for the inside terms

Answer 45

then the last, which is \[i \sqrt{5}*i \sqrt{5}\]

Answer 46

so all together, we get\[1- i \sqrt{5} - i \sqrt{5} - 5\] which simplifies to \[-4 -2i \sqrt{5}\]

Answer 47

oh ok thank you

Answer 48

so F.O.I.L, gotta remember that :P

Answer 49

Ok ^-^ Good night

Answer 50

here's a picture, just for good measure