what is \((3+i\sqrt{5})^2\)
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)
Thank you!!