Question

Multiply. (3+√5)(1+√5)

Answer 1

8 + 4
`√(5)`

Explanation:

(3 +
`√(5)` )(1 +
`√(5)` )

each term in the second factor is multiplied by each term in the first factor, that is

3(1 +
`√(5)` ) +
`√(5)` (1 +
`√(5)` ) ← distribute parenthesis

= 3 + 3
`√(5)` +
`√(5)` + 5 ← collect like terms

= 8 + 4
`√(5)`