Find the modulus of each of the following : (2- i)(1+i)/(1+i)

Question

Find the modulus of each of the following:

\(\frac{(2-i)(1+i)}{(1+i)}\)

(2- i)(1+i)/(1+i)

Answer 1

Given : \(\frac{(2-i)(1+i)}{(1+i)}\)

Firstly, we calculate \(\frac{(2-i)(1+i)}{(1+i)}\) and then find its modulus

Now, we rationalize the above by multiplying and divide by the conjugate of 1 + i

Now, we have to find the modulus of (2 – i)