Question

Expand (2 +13)(1 +13) Give your answer in the form c +d/3 where c and d are integers.​

Answer 1

5 + 3
`√(3)`

Explanation:

(2 +
`√(3)` )(1 +
`√(3)` )

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

2(1 +
`√(3)` ) +
`√(3)` (1 +
`√(3)` ) ← distribute parenthesis

= 2 + 2
`√(3)` +
`√(3)` + 3 ← collect like terms

= 5 + 3
`√(3)`

Answer 2

5+ 3 sqrt(3)

Explanation:

( 2 + sqrt(3)) ( 1 + sqrt(3))

FOIL

first: 2*1 = 2

outer: 2 * sqrt(3) = 2 sqrt(3)

inner: sqrt(3) *1 = sqrt(3)

last: sqrt(3) * sqrt(3) = 3

Add them together

2 + 2 sqrt(3) + sqrt(3) + 3

5+ 3 sqrt(3)