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what is \((3+i\sqrt{5})^2\)

 Jul 15, 2017
 #1
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Simplify the following:
(i sqrt(5) + 3)^2

(i sqrt(5) + 3)^2 = 9 + 3 i sqrt(5) + 3 i sqrt(5) - 5 = 4 + 6 i sqrt(5):
6 i sqrt(5) + 4

Factor 2 out of 4 + 6 i sqrt(5) giving 2 (3 i sqrt(5) + 2):
Answer: | 2(3i sqrt(5) + 2)

 Jul 15, 2017
 #2
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Thank you!!

Guest Jul 15, 2017

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