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

The solution to ((sqrt(3))/3+5/2 i)^2 is -71/12+5/(sqrt(3))i

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

simplify

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

- \frac{71}{12} + \frac{5}{3} i

Solution steps

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

Cancel

\frac{3}{3} : \frac{1}{3}

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

Expand

(\frac{1}{3} + \frac{5}{2} i)^{2} : - \frac{71}{12} + \frac{5}{3} i

= - \frac{71}{12} + \frac{5}{3} i

4 x^{3} - 5 x^{2} + 64 x - 80

5 \times 1 0^{- 4}

\frac{12 a ^{3} b ^{2} c - 18 a ^{4} b ^{5} c ^{2}}{6 a ^{2} b c}

2^{- 0.5}

8 (x - 2)

What is ((sqrt(3))/3+5/2 i)^2 ?
The solution to ((sqrt(3))/3+5/2 i)^2 is -71/12+5/(sqrt(3))i