What is (1/3-i(2sqrt(5))/3-1/3)^2 ?

The solution to (1/3-i(2sqrt(5))/3-1/3)^2 is -20/9

Popular >

simplify (1/3-i(2sqrt(5))/3-1/3)^2

simplify

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

- \frac{20}{9}

Decimal Notation

- 2.22222 \dots

Solution steps

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

Rewrite

\frac{1}{3} - i \frac{2 5}{3} - \frac{1}{3}

in standard complex form:

(\frac{1}{3} - \frac{1}{3}) - \frac{2 5}{3} i

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

Simplify

(\frac{1}{3} - \frac{1}{3}) - \frac{2 5}{3} i : - \frac{2 5}{3} i

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

Simplify

(- \frac{2 5}{3} i)^{2} : - \frac{20}{9}

= - \frac{20}{9}

4 a - 3 + 2 a = 7 a - 2

z^{2} + 3 z - 40

10.36 - 0.094 \cdot 0 + 0.131 \cdot 12 + 0.21 \cdot 12

1 = - \frac{3 \cdot 1 ^{4} ( - 4 \cdot 1 ^{9} + c _{1} ) ^{\frac{3}{4}}}{- 4 \cdot 1 ^{9} + c _{1}}

- x^{2} = 4 - 5 x

What is (1/3-i(2sqrt(5))/3-1/3)^2 ?
The solution to (1/3-i(2sqrt(5))/3-1/3)^2 is -20/9