SOLUTION: Write the expression in the standard form a + bi (√2/2+√2/2i)^2 Please help me solve this equation The answer I have is a. i/2 b. -i c. i or d. -i/2 Can you he

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Question 174535: Write the expression in the standard form a + bi
(√2/2+√2/2i)^2
Please help me solve this equation
The answer I have is a. i/2 b. -i c. i or d. -i/2
Can you help me? Thank you

Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Let


So the expression becomes


Start with the given expression.


FOIL


Combine like terms.


Replace with -1. Remember,


Multiply


Combine like terms.


Plug in


Square to get


Multiply



So which means that the answer is c) i


So the answer in standard form is where and



Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Write the expression in the standard form a + bi
(√2/2+√2/2i)^2
Please help me solve this equation
The answer I have is a. i/2 b. -i c. i or d. -i/2
-------------------
I think that's what you meant.
Factor out , which is 1/2
=
=
=
= i

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