Mathematics 9709 · AS & A Level · Complex numbers

Complex numbers — practice question

The complex number $u$ is defined as $u = 10 - 4\sqrt{6}i$.
(main)[5]

Determine the two square roots of $u$, and present each answer in the form $a + ib$, with $a$ and $b$ real and exact.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Expand $a+ib$, apply $i^2=-1$, and match the real and imaginary components

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