Question

How do you simplify `(5+sqrt 5)(2-sqrt 3)`?

Answer 1

1.938898571

Explanation:

`(5 + sqrt5)` `(2 - sqrt3)`

F.O.I.L.
First, Outer, Inner, Last

`5` * `2` = `10` [First]
`5` * `-sqrt3` = `-5sqrt3` [Outer]
`sqrt5` * 2 = `2sqrt5` [Inner]
`sqrt5` * `-sqrt3` = `-sqrt15` [Last]

Add all terms:

`10 -5sqrt3 + 2sqrt5 -sqrt15` = 1.938898571