Question

How do you simplify `3/(7 - i)`?

Answer 1

The answer is `(21+3i)/50`

Explanation:

To simplify such fractions you have to expand them by a complex conjugate of the number in the denominator. After this the denominator becomes a real number.

`3/(7-i)=(3(7+i))/((7-i)(7+i))=(21+3i)/(7^2-i^2)=(21+3i)/(49+1)=(21+3i)/50`