find\(\left(\frac{1+i}{\sqrt{2}}\right)^{46}\)
Rationalizing the denominator, we get
\(\displaystyle \frac{3 + 4i}{1 + 2i} = \frac{3}{2} - \frac{1}{2} i\)
Multiply the denominator and numerator by 1-2i
(11-2i) / 5 or 11/5 - 2/5 i