# Find the multiplicative inverse of each of the complex numbers given in the Exercises 11 to 13: √5 + 3i

**Solution:**

The given complex number is,

z = √5 + 3i

Then, z = √5 - 3i and

|z|² = (√5)² + (-3)²

= 5 + 9

= 14

Therefore, the multiplicative inverse of √5 + 3i is given by:

z^{- 1} = z/|z|²

= (√5 - 3i)/14

= √5/14 - (3/14)i

NCERT Solutions Class 11 Maths Chapter 5 Exercise 5.1 Question 12

## Find the multiplicative inverse of each of the complex numbers given in the Exercises 11 to 13 : √5 + 3i

**Summary:**

A complex number is given. We have found the complex number's multiplicative inverse and it comes out to be √5/14 - (3/14)i.