Question

math class 11 complex number.
evaluate it.​

Answer 1

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$( \frac{3}{2} + \frac{ \sqrt{5} }{3} i)^{2} \\ = ({ \frac{3}{2} })^{2} + 2. \frac{3}{2} . \frac{ \sqrt{5} }{3} i + ( \frac{ \sqrt{5} }{3} i) ^{2} \\ = \frac{9}{4} + \sqrt{5} i - \frac{5}{9} \\ = ( \frac{9}{4} - \frac{5}{9} ) + \sqrt{5} i \\ = \frac{61}{36} + \sqrt{5} i$