✏️ Practice Exercises

Complex Numbers

3 problems · Easy to Hard · Type your working · AI checks your steps

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How to use these exercises

Read the question → work it out step-by-step in the box → click Check My Working to get AI feedback. Use hints if stuck. Reveal the full solution only after you have tried.

01

easy

Modulus of −3 + 4i:

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√(a² + b²).

Your Working

02

medium

Multiply: (2 + i)(3 − 2i)

💡 Show hint

Use i² = −1.

Your Working

03

hard

Solve: z² = −9

💡 Show hint

i² = −1; rewrite as i² · 9.

Your Working

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