Oblicz: a) ([latex]{ sqrt{7} } [/latex] - 1) ([latex] sqrt{7}[/latex] +1) = b) ([latex] sqrt{2}[/latex] + [latex] sqrt{6}[/latex]) ([latex] sqrt{2}[/latex] - [latex] sqrt{6}[/latex]) c) (3 + [latex] sqrt{2} [/latex]) <--- do kwadratu d) (6 - [latex]2

Oblicz: a) ([latex]{ sqrt{7} } [/latex] - 1) ([latex] sqrt{7}[/latex] +1) = b) ([latex] sqrt{2}[/latex] + [latex] sqrt{6}[/latex]) ([latex] sqrt{2}[/latex] - [latex] sqrt{6}[/latex]) c) (3 + [latex] sqrt{2} [/latex]) <--- do kwadratu d) (6 - [latex]2 sqrt{3} [/latex]) <--- do kwadratu
Odpowiedź

a) 7 + pz7 - pz7 - 1 = 6 b) 2 - pz12 + pz12 - 6 = -4 c) 9 + 6pz2 +2 = 11+6pz2 d) 36 - 24pz3 + 12 = 48 - 24pz3

a) [latex] (sqrt{7} )^{2}- 1^{2} =7-1=6[/latex] b) [latex]( sqrt{2})^{2}-( sqrt{6}) ^{2}=2-6=(-4)[/latex] c)[latex] 3^{2} + 2*3* sqrt{2} = 9 + 6 sqrt{2} [/latex] d) [latex] 6^{2} -2*6*2 sqrt{3}+(2 sqrt{3}) ^{2}=36-24 sqrt{3} + 12= 48-24 sqrt{3} [/latex]

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