Level 3 Complex Numbers Walkthrough

2022 NCEA Level 3 Complex Numbers Question 1(a)

2022 Paper

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Walkthrough overview

What this question practises

This 2022 walkthrough is part of AS91577 — Apply the algebra of complex numbers in solving problems.

Method: Rationalising a surd denominator into the required exact form.

This is Question 1(a) from the 2022 NCEA Level 3 Complex Numbers paper for AS91577 — Apply the algebra of complex numbers in solving problems. Use the guided hints to practise the method before revealing the full working.

Calc.nz is an independent learning resource. Compare questions, diagrams, and assessment information with the official NZQA resources for AS91577.

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Learning summary

Review the method, not only the answer

This walkthrough helps you practise rationalising a surd denominator into the required exact form. Use the hints to plan the method, then repeat the question without hints and check each step.

Common mistake to avoid

Keep exact values until the end and check any denominator or domain restriction.

Continue practising

Question 1(b) →