Question

Z=(1+i)√3-(1-i)/2√2.

Answer 1

Answer:

Z is equal to $\frac{1}{\sqrt{2} }$

Step-by-step explanation:

$z ^{2} = \frac{ (1-i\sqrt{3}) ^{2} }{(2-2i)^{2} } = \frac{1^{2} + (\sqrt{3})^{2} }{2^{2}+2^{2} } = \frac{1+3}{4+4} = \frac{4}{8} = \frac{1}{2}$

$z=\sqrt{\frac{1}{2} } = \frac{1}{\sqrt{2} }$