SOLUTION: Can you please help me find the solution: {{{ (-2+ radical -4)2 }}} Me: (-2+i radical 4)2 Me: (-2)2+2(-2)(i radical 4)+(i radical 4)2 Me: 4-4i radical 4 + 4i(squared) I kn

Algebra ->  Radicals -> SOLUTION: Can you please help me find the solution: {{{ (-2+ radical -4)2 }}} Me: (-2+i radical 4)2 Me: (-2)2+2(-2)(i radical 4)+(i radical 4)2 Me: 4-4i radical 4 + 4i(squared) I kn      Log On


   

Question 202871This question is from textbook college algebra
: Can you please help me find the solution: +%28-2%2B+radical+-4%292+
Me: (-2+i radical 4)2
Me: (-2)2+2(-2)(i radical 4)+(i radical 4)2
Me: 4-4i radical 4 + 4i(squared)
I know this is wrong... This question is from textbook college algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that the expression is %28-2%2Bsqrt%28-4%29%29%5E2 right????


%28-2%2Bsqrt%28-4%29%29%5E2 Start with the given expression.


%28-2%2Bsqrt%28-1%2A4%29%29%5E2 Factor


%28-2%2Bsqrt%28-1%29%2Asqrt%284%29%29%5E2 Break up the square root.


%28-2%2Bi%2A2%29%5E2 Replace sqrt%28-1%29 with "i". Take the square root of 4 to get 2.


%28-2%2B2i%29%5E2 Rearrange the terms.


%28-2%29%28-2%29%2B%28-2%29%282i%29%2B%282i%29%28-2%29%2B%282i%29%282i%29 FOIL.


4-4i-4i%2B4i%5E2 Multiply.


4-4i-4i%2B4%28-1%29 Replace i%5E2 with -1. Note: i%5E2=-1.


4-4i-4i-4 Multiply.


-8i Combine like terms.


So %28-2%2Bsqrt%28-4%29%29%5E2=-8i.