Question

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

Answer 1

Answer:

14 + 6$\sqrt{3}$

Step-by-step explanation:

(4 + $\sqrt{12}$ )(5 - $\sqrt{3}$ )

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

4(5 - $\sqrt{3}$ ) + $\sqrt{12}$ (5 - $\sqrt{3}$ ) ← distribute parenthesis

= 20 - 4$\sqrt{3}$ + 5$\sqrt{12}$ - $\sqrt{36}$

= 20 - 4$\sqrt{3}$ + 5(2$\sqrt{3}$ ) - 6

= 20 - 4$\sqrt{3}$ + 10$\sqrt{3}$ - 6 ← collect like terms

= 14 + 6$\sqrt{3}$