SOLUTION: (3 + squareroot-4)(4 + squareroot-1)

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Question 868377: (3 + squareroot-4)(4 + squareroot-1)
Found 2 solutions by mananth, jim_thompson5910:
Answer by mananth(16946) About Me  (Show Source):
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283+%2B+sqrt%28-4%29%29%284+%2B+sqrt%28-1%29%29


%283+%2B+sqrt%28-1%2A4%29%29%284+%2B+sqrt%28-1%29%29


%283+%2B+sqrt%28-1%29%2Asqrt%284%29%29%284+%2B+sqrt%28-1%29%29


%283+%2B+i%2A2%29%284+%2B+i%29 By definition: i+=+sqrt%28-1%29


%283+%2B+2i%29%284+%2B+i%29


3%284+%2B+i%29%2B2i%284+%2B+i%29


3%284%29+%2B+3%28i%29%2B2i%284%29+%2B+2i%28i%29


12+%2B+3i+%2B+8i+%2B+2i%5E2


12+%2B+3i+%2B+8i+%2B+2%28-1%29 Since i+=+sqrt%28-1%29, squaring both sides gives i%5E2+=+-1


12+%2B+3i+%2B+8i+-+2


10+%2B+11i


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Answer: %283+%2B+sqrt%28-4%29%29%284+%2B+sqrt%28-1%29%29=10+%2B+11i