What is ((sqrt(5))/5+(sqrt(3))/2 i)^2 ?

The solution to ((sqrt(5))/5+(sqrt(3))/2 i)^2 is -11/20+(sqrt(3))/(sqrt(5))i

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simplify ((sqrt(5))/5+(sqrt(3))/2 i)^2

simplify

(\frac{5}{5} + \frac{3}{2} i)^{2}

- \frac{11}{20} + \frac{3}{5} i

Solution steps

(\frac{5}{5} + \frac{3}{2} i)^{2}

Cancel

\frac{5}{5} : \frac{1}{5}

= (\frac{1}{5} + \frac{3}{2} i)^{2}

Expand

(\frac{1}{5} + \frac{3}{2} i)^{2} : - \frac{11}{20} + \frac{3}{5} i

= - \frac{11}{20} + \frac{3}{5} i

18 x^{2} - 12 x + 54

(x - 2) + 2

(x - 2)^{2} - 9

4112

What is ((sqrt(5))/5+(sqrt(3))/2 i)^2 ?
The solution to ((sqrt(5))/5+(sqrt(3))/2 i)^2 is -11/20+(sqrt(3))/(sqrt(5))i