What is (\sqrt[3]{2}+i)^2 ?

The solution to (\sqrt[3]{2}+i)^2 is ((\sqrt[3]{2})^2-1)+2\sqrt[3]{2}i

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simplify (\sqrt[3]{2}+i)^2

simplify

Solution steps

Apply Perfect Square Formula:

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

Apply imaginary number rule:

i^{2} = - 1

Rewrite in standard complex form:

3300

- 3 a X 4 b

\frac{2}{x ^{2}}

\frac{- 1}{2} - 3

\frac{- 1}{2} + 3

What is (\sqrt[3]{2}+i)^2 ?
The solution to (\sqrt[3]{2}+i)^2 is ((\sqrt[3]{2})^2-1)+2\sqrt[3]{2}i