BitWithBite
Mathematics Worksheet
🌀 Complex Numbers
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Simplify square roots of negative numbers.Add and subtract complex numbers.Understand i2 = −1.Identify real and imaginary parts.📚 Quick Recap
Complex numbers extend the number system to include the square roots of negative numbers, using the imaginary unit i — essential for solving equations that have no real solutions.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1Simplify √(−49):
2Simplify √(−4):
3(5+2i) + (3+6i) = ?
4(7−3i) − (2+i) = ?
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5The imaginary unit satisfies i2 = .
6√(−49) = .
7Simplify √(−49).
8Simplify √(−4).
9Add (5+2i) + (3+6i).
🚀 Section C · Challenge ● CHALLENGE 5
10Subtract (7−3i) − (2+i).
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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✂ answer key — fold or cut before handing out
1-A 2-A 3-A 4-A | 5 −1 6 7i 7 = 7i 8 = 2i 9 = 8+8i | 10 = 5−4i