Question

find the modulas of 1+I/1-i​

Answer 1

Answer:

Let [math]z = 1+i [/math]

then [math] \bar{z} = 1-i [/math]

[math] \implies |z| ^{2} = z \bar{z} [/math]

[math] \implies |z| ^{2} = (1+i)(1-i) [/math]

[math] \implies |z| ^{2} = 1+1 = 2 [/math]

[math] \implies |z| = \sqrt{2} [/math]