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find\(\left(\frac{1+i}{\sqrt{2}}\right)^{46}\)

 Dec 29, 2021
edited by Guest  Dec 29, 2021
 #1
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Rationalizing the denominator, we get

\(\displaystyle \frac{3 + 4i}{1 + 2i} = \frac{3}{2} - \frac{1}{2} i\)

 Dec 29, 2021
 #2
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Multiply the denominator and numerator by 1-2i

 

(11-2i) /  5     or        11/5   - 2/5 i

 Dec 29, 2021

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