Question

Rationalize root 3+root 5​

Answer 1

- 2

Explanation:

To rationalise multiply by its conjugate.

The conjugate of
`√(3)` +
`√(5)` is
`√(3)` -
`√(5)` then

(
`√(3)` +
`√(5)` )(
`√(3)` -
`√(5)` ) ← expand using FOIL

= (
`√(3)` )² -
`√(15)` +
`√(15)` - (
`√(5)` )²

= 3 - 5

= - 2