Answer :
Answer:
14 + 6[tex]\sqrt{3}[/tex]
Step-by-step explanation:
(4 + [tex]\sqrt{12}[/tex] )(5 - [tex]\sqrt{3}[/tex] )
Each term in the second factor is multiplied by each term in the first factor
4(5 - [tex]\sqrt{3}[/tex] ) + [tex]\sqrt{12}[/tex] (5 - [tex]\sqrt{3}[/tex] ) ← distribute parenthesis
= 20 - 4[tex]\sqrt{3}[/tex] + 5[tex]\sqrt{12}[/tex] - [tex]\sqrt{36}[/tex]
= 20 - 4[tex]\sqrt{3}[/tex] + 5(2[tex]\sqrt{3}[/tex] ) - 6
= 20 - 4[tex]\sqrt{3}[/tex] + 10[tex]\sqrt{3}[/tex] - 6 ← collect like terms
= 14 + 6[tex]\sqrt{3}[/tex]