Question

7. Find the multiplicative inverse of the complex number 1+ i.​

Answer 1

Answer:

(1-i)/2

Step-by-step explanation:

Multiplicative inverse of

1+i = 1/(1+i)

Rationalising we get

1/(1+i) × (1-i)/(1-i)

=(1-i)/1²-i². [ since (a+b)(a-b)=a²-b²]

=(1-i)/1-(√-1)²

=(1-i)/1-(-1)

=(1-i)/1+1

=(1-i)/2