What is (5/4+(sqrt(3))/4 i)^2 ?

The solution to (5/4+(sqrt(3))/4 i)^2 is 11/8+(5sqrt(3))/8 i

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simplify (5/4+(sqrt(3))/4 i)^2

simplify

(\frac{5}{4} + \frac{3}{4} i)^{2}

\frac{11}{8} + \frac{5 3}{8} i

Solution steps

(\frac{5}{4} + \frac{3}{4} i)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(\frac{5}{4} + \frac{3}{4} i)^{2} = (\frac{5}{4})^{2} + 2 \cdot \frac{5}{4} \cdot \frac{3}{4} i + (\frac{3}{4} i)^{2}

= (\frac{5}{4})^{2} + 2 \cdot \frac{5}{4} \cdot \frac{3}{4} i + (\frac{3}{4} i)^{2}

Simplify

(\frac{5}{4})^{2} + 2 \cdot \frac{5}{4} \cdot \frac{3}{4} i + (\frac{3}{4} i)^{2} : \frac{11}{8} + \frac{5 3}{8} i

= \frac{11}{8} + \frac{5 3}{8} i

\frac{4 x ^{2} - 25}{2 x ^{2} - x - 10}

x x^{2}

(2 a + 5)^{2}

\frac{a - \frac{1}{b}}{b - \frac{1}{a}}

1 \times 0

What is (5/4+(sqrt(3))/4 i)^2 ?
The solution to (5/4+(sqrt(3))/4 i)^2 is 11/8+(5sqrt(3))/8 i