Question

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

Answer 1

Answer:

5+ 3 sqrt(3)

Step-by-step 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)

Answer 2

Answer:

5 + 3$\sqrt{3}$

Step-by-step explanation:

(2 + $\sqrt{3}$ )(1 + $\sqrt{3}$ )

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

2(1 + $\sqrt{3}$ ) + $\sqrt{3}$ (1 + $\sqrt{3}$ ) ← distribute parenthesis

= 2 + 2$\sqrt{3}$ + $\sqrt{3}$ + 3 ← collect like terms

= 5 + 3$\sqrt{3}$