Question

Alguém sabe fazer essas 2 questões de radicais ??

Answer 1

17) Lembre-se de que: (a+b).(a-b) = a²-b²

$\sqrt{2}.\sqrt{2+\sqrt{2} }.\sqrt{2+\sqrt{2+\sqrt{2} } } .\sqrt{2-\sqrt{2+\sqrt{2} } } =\\\\\sqrt{2}.\sqrt{2+\sqrt{2} }.(~\sqrt{2+\sqrt{2+\sqrt{2} } } .\sqrt{2-\sqrt{2+\sqrt{2} } }~)=\\\\\sqrt{2}.\sqrt{2+\sqrt{2} }.\sqrt{(2+\sqrt{2+\sqrt{2}} ).({2-\sqrt{2+\sqrt{2}} } } } ) =\\\\\sqrt{2}.\sqrt{2+\sqrt{2} }.\sqrt{(4-(2+\sqrt{2}) } } } } ) = \\\\\sqrt{2}.\sqrt{2+\sqrt{2} }.\sqrt{2-\sqrt{2} } } } } =\\\\\sqrt{2}.(4-{2}) =\\\\\sqrt{2}.2 = \\\\ \boxed{2.\sqrt{2}}$

Resposta: C)

18) Comece de trás para frente.

Raiz de 4 = 2

83 - 2 = 81

Raiz de 81 = 9

10 - 9 = 1

Raiz sexta de 1 = 1

31 + 1 = 32

Raiz quinta de 32 = 2

Resposta: B)