✏️ Worked Examples — Step by Step
E1
EasyModulus of −3 + 4i:
💡 √(a² + b²).
👁 Show Solution
√(9 + 16) = 5. ✅ Answer: 5
✅5
E2
MediumMultiply: (2 + i)(3 − 2i)
💡 Use i² = −1.
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6 − 4i + 3i − 2i² = 6 − i + 2 = 8 − i. ✅ Answer: 8 − i
✅8 − i
E3
ChallengingSolve: z² = −9
💡 i² = −1; rewrite as i² · 9.
👁 Show Solution
z² = 9i² → z = ±3i. ✅ Answer: z = 3i or −3i
✅±3i