Answer:
7 + 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
note that [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a
Given
(2 + [tex]\sqrt{3}[/tex] )² = (2 + [tex]\sqrt{3}[/tex] )(2 + [tex]\sqrt{3}[/tex] )
Each term in the second factor is multiplied by each term in the first factor, that is
2(2 + [tex]\sqrt{3}[/tex] ) + [tex]\sqrt{3}[/tex](2 + [tex]\sqrt{3}[/tex] ) ← distribute both parenthesis
= 4 + 2[tex]\sqrt{3}[/tex] + 2[tex]\sqrt{3}[/tex] + 3 ← collect like terms
= 7 + 4[tex]\sqrt{3}[/tex]
