Question

find the modulus of i/(1-i)​

Answer 1

Answer:

Let z=1+iz=1+i

then z¯=1−iz¯=1−i

⟹|z|2=zz¯⟹|z|2=zz¯

⟹|z|2=(1+i)(1−i)⟹|z|2=(1+i)(1−i)

⟹|z|2=1+1=2⟹|z|2=1+1=2

⟹|z|=2–√