Question

Simplify the given expression: 2/2+5i

Answer 1

The correct answer is:
`(4-10i)/(29)`

Step-by-step explanation:

Given expression:

`(2)/(2+5i)`

Apply rationalization (multiply and divide by (2-5i)):

`(2)/(2+5i) * ((2-5i)/(2-5i) )`

Now evalute as follows:

`(4-10i)/((2)^2-(5i)^2)`

Remember
`i^2 = -1`

`(4-10i)/(4-(-25)) \\ (4-10i)/(29)`

Hence the correct answer is
`(4-10i)/(29)`.

-i