Question

Pls help working this out step by step:
Simplify fully (4+√12)(5-√3)

Answer 1

14 + 6
`√(3)`

Explanation:

(4 +
`√(12)` )(5 -
`√(3)` )

Each term in the second factor is multiplied by each term in the first factor

4(5 -
`√(3)` ) +
`√(12)` (5 -
`√(3)` ) ← distribute parenthesis

= 20 - 4
`√(3)` + 5
`√(12)` -
`√(36)`

= 20 - 4
`√(3)` + 5(2
`√(3)` ) - 6

= 20 - 4
`√(3)` + 10
`√(3)` - 6 ← collect like terms

= 14 + 6
`√(3)`