Multiplying and dividing complex numbers

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Examples

Lessons

Multiplying complex numbers
1. $(3+i)\times(1+3i)$
2. $(1-\sqrt{2}i)\times(-2+3\sqrt{2}i)$
3. $(6-5i)\times(6+5i)$
Dividing complex numbers
1. $(1+2i)\div(3-i)$
2. $\frac{5-\sqrt{5}i}{-4+\sqrt{5}i}$
3. $\frac{2-3i}{3i+2}$
Given that $z=5+6i$ $z = 5 + 6 i$ , determine $\overline{z}\cdot z$ $\overline{z} \cdot z$
Given that $w=2-5i$ $w = 2 - 5 i$ , $z=3+6i$ $z = 3 + 6 i$ determine $w \cdot \overline{z}$ $w \cdot \overline{z}$

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