Answer:
55 + 14[tex]\sqrt{6}[/tex]
Step-by-step explanation:
(7 + [tex]\sqrt{6}[/tex] )²
= (7 + [tex]\sqrt{6}[/tex] )(7 + [tex]\sqrt{6}[/tex] )
Each term in the second factor is multiplied by each term in the first factor.
7(7 + [tex]\sqrt{6}[/tex] ) + [tex]\sqrt{6}[/tex] (7 + [tex]\sqrt{6}[/tex] ) ← distribute parenthesis
= 49 + 7[tex]\sqrt{6}[/tex] + 7[tex]\sqrt{6}[/tex] + 6 ← collect like terms
= 55 + 14[tex]\sqrt{6}[/tex]