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PLEASE HURRY!!!!!! Express ((√(2) )/(5) +(5)/(2)i)^(2) in simplest a+bi form.
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PLEASE HURRY!!!!!!

Express
((√(2) )/(5) +(5)/(2)i)^(2) in simplest a+bi form.

User Gonzalo Dambra
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1 Answer

11 votes

Expand the binomial:

(√2/5 + 5/2 i )² = (√2/5)² + 2i (√2/5) (5/2) + (5/2 i )²

… = 2/25 + √2 i + 25/4 i ²

… = -617/100 + √2 i

User Marcus Christiansen
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4.1k points
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