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

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

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

simplify

Solution steps

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

Simplify

Rewrite in standard complex form:

2 - x (2 - x,)

\frac{3}{2 x} + \frac{1}{y}

7 (7 + q 21)

(3 u + \frac{3}{23} v)^{2}

\frac{x ( x ^{2} - 4 ) ( x + C )}{x + 3}

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