11. 4 3i
Given complex number is,
4 − 3 i
Multiplicative inverse of any complex number is the inverse of that number. So the multiplicative inverse of the given complex number will be.
1 4 − 3 i
On rationalizing the denominator, we get
1 4 − 3 i = 1 4 − 3 i × 4 + 3 i 4 + 3 i = 4 + 3 i ( 4 ) 2 − ( 3 i ) 2 = 4 + 3 i 16 − 9 i 2 = 4 + 3 i 16 + 9
Solve further.
1 4 − 3 i = 4 + 3 i 25 = 4 25 + i 3 25
Thus, the multiplicative inverse of the given complex number is 4 25 + i 3 25 .
Given complex number is,
Multiplicative inverse of any complex number is the inverse of that number. So the multiplicative inverse of the given complex number will be.
On rationalizing the denominator, we get
Solve further.
Thus, the multiplicative inverse of the given complex number is
