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Complex Numbers

Solve 11+i

Question

Solve $\frac{1}{1 + i}$

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Solution

Rationalizing $\frac{1}{1 + i}$ .

$\frac{1}{1 + i} = \frac{1}{1 + i} \times \frac{1 - i}{1 - i}$

$= \frac{1 - i}{(1^{2}) - (i^{2})}$

$= \frac{1 - i}{1 + 1}$

$= \frac{1 - i}{2}$

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