Write the polar form of the complex number $1 + i$

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Solution

$1 + i = \sqrt{2} (\frac{1}{\sqrt{2}} + \frac{i}{\sqrt{2}}) = \sqrt{2} (cos \frac{π}{4} + i sin \frac{π}{4})$
$= \sqrt{2} e^{i π / 4}$

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