SOLUTION: (-3 - √-7)^2 Write in standard form. I got 6 - 2√7i Thanks for your help!

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: (-3 - √-7)^2 Write in standard form. I got 6 - 2√7i Thanks for your help!      Log On


   

Question 54531: (-3 - √-7)^2 Write in standard form.
I got 6 - 2√7i
Thanks for your help!
Found 2 solutions by stanbon, funmath:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(-3 - √-7)^2
=(-3^2)-2(-3)(sqrt(-7)+(sqrt(-7))^2
=9+6isqrt7-7
=2+(6sqrt7)i
Cheers,
Stan H.

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
You are really close.
%28-3-sqrt%28-7%29%29%5E2
%28-3-sqrt%287%29i%29%5E2
%28-3-sqrt%287%29i%29%28-3-sqrt%287%29i%29
-3%28-3%29-3%28-sqrt%287%29i%29-sqrt%287%29i%28-3%29-sqrt%287%29i%28-sqrt%287%29i%29
9%2B3sqrt%287%29i%2B3sqrt%287%29i%2B7i%5E2 Remember:i%5E2=-1
9%2B6sqrt%287%29i%2B7%28-1%29
9-7%2B6sqrt%287%29i
highlight%282%2B6sqrt%287%29i%29
Happy Calculating!!!