Question

What is (5+square root of 3)(4-2square root of 3)?

Answer 1

`14-6sqrt3`

Explanation:

We use the FOIL method to multiply these two expressions.

This means first multiply the terms which occur first in each expression i.e. `5` and `4`.
Next, we multiply the innermost terms i.e. `sqrt3` and `4`.
Then, we multiply the outermost terms i.e. `5` and `-2sqrt3`.
Finally, we multiply the terms that occur last in each expression i.e. `sqrt3` and `-2sqrt3`, and add them all up.

`(5+sqrt3)(4-2sqrt3)`
`=20+4sqrt3-10sqrt3-6`
`=14-6sqrt3`