Mathhelp346
PLEASEE HELP PLEASE!!!:
1. (1+i √5)^2
2. (23i √2)^2



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TBMonkey
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are they supposed to be equal?

Mathhelp346
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No, they're two seperate problems

Mathhelp346
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Sorry for the confusion

TBMonkey
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no problem hang on a sec kk?

Mathhelp346
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Ok, thanks

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

Mathhelp346
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How did you figure those out?

Mathhelp346
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I checked the answers at the back of my textbook and it says 42i√5. Is that the same thing?

TBMonkey
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yes but more complicated(:

Mathhelp346
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Oh, ok. But how did you get those answers anyways?

TBMonkey
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step by step lol your book should tell you

Mathhelp346
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It doesn't have an example on this type. I don't know how to solve it with a square root.

TBMonkey
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What?

Mathhelp346
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Can you show me how you solved it step by step?

anikay
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I can!

Mathhelp346
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Ok :o

anikay
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only cuz of your adorable pikachus though :D

Mathhelp346
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xD Thank you

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

Mathhelp346
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yes 1

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

Mathhelp346
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That's it?

anikay
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is that the problem in your book?

Mathhelp346
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\[(1+i \sqrt{5})^{2}\]

Mathhelp346
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It's that

anikay
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ok thanks

anikay
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so we square everything inside the parentheses. to get
4

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

Mathhelp346
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Yeah

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

anikay
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is there something about the problem I'm missing?

Mathhelp346
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But the answers in my textbook say it's 42i√5. Or is your answer and the textbook's the same thing?

anikay
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they aren't

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

Mathhelp346
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The textbook says multiply

anikay
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....omg I'm so sorry

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

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

anikay
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foil

Mathhelp346
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1+i√5^2?

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

anikay
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so first we multiply 1 by 1

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

anikay
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then we do the same thing again for the inside terms

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

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

Mathhelp346
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oh ok thank you

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

Mathhelp346
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Ok ^^ Good night

anikay
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here's a picture, just for good measure dw:1355203674722:dw

anikay
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night