Question

Simplify the given expression below: 2 divided by the quantity of 2 plus 5i

Answer 1

The answer above it correct

Explanation:

Answer 2

Remove the imaginary from the denominator.

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

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

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

`(4 - 10i)/(4 - 10i + 10i - 25 i^(2) )`
`i^(2) = -1`

`(4 - 10i)/(4 + 25)`

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