Topic explanation

Standard explanation

3+4i -> 3-4i. -2+5i -> -2-5i. Conjugate of a real is itself. Conjugate of a pure imaginary flips the i sign: 7i -> -7i.

Key points

• only b changes sign
• conjugate flips b
• |z| = sqrt(a²+b²)
• keep the ideas separate
• Conjugate: 3+4i -> 3-4i. -2+5i -> -2-5i. Conjugate of a real is itself. Conjugate of a pure imaginary flips the
• WHAT — CONJUGATE: 3+4i -> 3-4i. -2+5i -> -2-5i. Conjugate of a real is itself. Conjugate of a pure imaginary flips the
• HOW — Use the idea: Identify what is given, select this topic's rule or evidence, apply it one step at a time, and check
• CORE UNDERSTANDING: 3+4i -> 3-4i. -2+5i -> -2-5i. Conjugate of a real is itself. Conjugate of a pure imaginary flips the

Labelled diagram