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Mathematics

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Express [tex](\frac{\sqrt{2} }{5} +\frac{5}{2}i)^{2}[/tex] in simplest a+bi form.

Answer :

LammettHashgo LammettHashgo

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

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