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Start by creating a quartic equation in $x$ or $y$, then determine the square roots of $-4 + 6\sqrt{5}i$ in exact Cartesian form.
Mathematics 9709 · AS & A Level · Complex numbers
Complex numbers — practice question
The square roots of $-4 + 6\sqrt{5}i$ may be written in Cartesian form as $x + iy$, with $x$ and $y$ real and exact.