Question

Complex Numbers:
Reciprocal of 2 + 3i.​

Answer 1

Answer:

1/(2+3i) = 1/(2+3i) × (2-3i)(2-3i)

= (2-3i)/(2²-3i²)

= (2-3i) / (4+9)

= (2-3i) / 13

= (2/13) - (3i/13)

Step-by-step explanation:

Answer 2

Given; 2+3i

To Find; Reciprocal number

Solution; Reciprocal of 2+3i

This can be easily found by multiplying the conjugate of the denominator with the numerator and denominator.

1/2+3i

1(2-3i)/(2+3i)(2-3i)

2-3i/4+9

2-3i/13

Hence the reciprocal is 2-3i/13