Question

Do the operation and express the answer in a + bi form. Use fractions in your answer.

1/(8 + i)

Answer 1

9514 1404 393

Answer:

8/65 -(1/65)i

Explanation:

When there is a complex number in the denominator, the denominator can be made real by multiplying numerator and denominator by the conjugate of the denominator.

`(1)/(8+i)=(8-i)/((8+i)(8-i))=(8-i)/(8^2-i^2)=\boxed{(8)/(65)-(1)/(65)i}`