Exercises: Find Conjugates and Quotients of Complex Numbers

Show your work. Write all answers in standard form $a + bi$ (or as simplified real numbers where appropriate).

Grade 9·19 problems·~35 min·Common Core Math - HS Number and Quantity·standard·hsn-cn-a-3

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Warm-Up: Review What You Know

In the division technique $\frac{1}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{2}}{2}$ , what principle is being applied?

Cross-multiplication

Multiplying by 1 in the form $\frac{\sqrt{2}}{\sqrt{2}}$ to rationalize the denominator

Taking the reciprocal

Canceling common factors