SOLUTION: I have been working on this for hours, not sure how to solve this (please show steps): Perform the indicated operation and express the result in the form a + bi (1 + 3 sqrt(-5)

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I have been working on this for hours, not sure how to solve this (please show steps): Perform the indicated operation and express the result in the form a + bi (1 + 3 sqrt(-5)      Log On


   



Question 683404: I have been working on this for hours, not sure how to solve this (please show steps):
Perform the indicated operation and express the result in the form a + bi
(1 + 3 sqrt(-5))(2 - sqrt(-5))

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
FOIL
%281%2B3sqrt%28-5%29%29%282-sqrt%28-5%29%29
...

...
2++-+sqrt%28-5%29+%2B+6sqrt%28-5%29+-+3sqrt%28-5%29%5E2
...
2+%2B+5sqrt%28-5%29+-+3%28-5%29
...
2+%2B+5sqrt%28-5%29+%2B+15
...
17+%2B+5sqrt%28-5%29
...
17+%2B+5sqrt%28-1%2A5%29
...
highlight_green%2817+%2B+5i%2Asqrt%285%29%29
.....................
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