Answer:
see explanation
Step-by-step explanation:
([tex]\sqrt{3}[/tex] + [tex]\sqrt{2}[/tex] )²
= ([tex]\sqrt{3}[/tex] + [tex]\sqrt{2}[/tex] )([tex]\sqrt{3}[/tex] + [tex]\sqrt{2}[/tex] )
Each term in the second factor is multiplied by each term in the first factor , that is
[tex]\sqrt{3}[/tex] ([tex]\sqrt{3}[/tex] + [tex]\sqrt{2}[/tex] ) + [tex]\sqrt{2}[/tex] ([tex]\sqrt{3}[/tex] + [tex]\sqrt{2}[/tex] ) ← distribute parenthesis
= 3 + [tex]\sqrt{6}[/tex] + [tex]\sqrt{6}[/tex] + 2 ← collect like terms
= 2[tex]\sqrt{6}[/tex] + 5
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(b)
(2 - [tex]\sqrt{5}[/tex] )(2 + [tex]\sqrt{5}[/tex] )
= 2(2 + [tex]\sqrt{5}[/tex] ) - [tex]\sqrt{5}[/tex] (2 + [tex]\sqrt{5}[/tex] ) ← distribute parenthesis
= 4 + 2[tex]\sqrt{5}[/tex] - 2[tex]\sqrt{5}[/tex] - 5 ← collect like terms
= - 1
