SOLUTION: Jane comes up to you with the following dilemma: She read in the book that {{{i^2 = -1}}} but she did some math on her own and came up with the following: {{{i^2=i*i=sqrt(-1)

Algebra.Com
Question 184754: Jane comes up to you with the following dilemma:
She read in the book that but she
did some math on her own and came up with the following:

Her question is how can this be? Write a paragraph explaining how to resolve this dilemma for her.

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Jane comes up to you with the following dilemma:
She read in the book that but she
did some math on her own and came up with the following:

Her question is how can this be? Write a paragraph explaining how to resolve this dilemma for her.

The violation of rules for multiplying under
radicals is violated in this step above:



That is incorrect.

When multiplying two square roots, we can
only multiply POSITIVE numbers under square
root radicals, NEVER negative numbers. 
If a negative number is under a square root
radical such as , we must first 
write it as  so that there will 
only be a positive number under the square root
radical.  And we simply learn that  
by definition.

Edwin


RELATED QUESTIONS

linda reads 1/5 of a book on friday and 2/7 of the book on saturday. On sunday she read... (answered by rfer)
My daughter is frustrated in Algebra II (well all math in general that is). She was given (answered by Earlsdon,josmiceli)
Claudia is reading a book that has 360 pages. She read some of the book last week. She... (answered by stanbon)
Jane wants to publish and sell and 80-page book she wrote. She uses a self-publishing... (answered by ReadingBoosters)
I don't know what category this goes on(so I'm sorry but) I have a problem Marria read... (answered by josmiceli)
Lauren has $1,200.00. She plans to take $10.00 out of her account, the 1st week, after... (answered by solver91311)
My problem :Jane went to the grocery store with $10 in her pocket. She wants to purchase (answered by rothauserc)
Please help me solve this math question: Carlene spent one third of her money on an mp3 (answered by josmiceli)
Sherry’s teacher told her that if she was foiling conjugates she would not have any... (answered by ikleyn,MathTherapy)