Year 12 · Specialist Mathematics

Roots of complex numbers

Free examples and worked answers. No account needed.

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Practise the method.

Root moduli and roots of unity.

Example 1

-3-333ReImtrial z
Trial plane · your chosen z
Choose a trial, then switch views to investigate its power. The two views zoom independently; each keeps equal real and imaginary scales.
Show worked answer

Answer:

Example 2

-3-333ReImtrial z
Trial plane · your chosen z
Choose a trial, then switch views to investigate its power. The two views zoom independently; each keeps equal real and imaginary scales.
Show worked answer

Answer:

Example 3

-3-333ReImtrial z
Trial plane · your chosen z
Choose a trial, then switch views to investigate its power. The two views zoom independently; each keeps equal real and imaginary scales.
Show worked answer

Answer: