I don't know where to start... It's a multiple-choice question: I can choose from $\sqrt{2}, 0, 2, 1$
Thank you!
I don't know where to start... It's a multiple-choice question: I can choose from $\sqrt{2}, 0, 2, 1$
Thank you!
Using this or this, $$e^{\frac{i\pi}4}=\cos \frac{\pi}4 +i\sin\frac{\pi}4=\frac{1+i}{\sqrt 2}$$
$$(1-i)\cdot e^{\frac{i\pi}4}=(1-i)\cdot \frac{(1+i)}{\sqrt 2}=\frac{1-i^2}{\sqrt 2}=\sqrt 2$$
$$e^{i\pi/4}(1-i)=(1-i)(1+i)\frac{\sqrt{2}}{2}=2\frac{\sqrt{2}}{2}=\sqrt{2}$$