Question

Me ajudem pfvr
$\sqrt{ \sqrt{2 } - 1 } \times \sqrt{ \sqrt{2} + 1 }$
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Answer 1

$\sqrt{\sqrt{2}-1}~.~\sqrt{\sqrt{2}+1}~=\\\\\\=~\sqrt{\left(\sqrt{2}-1\right)~.~\left(\sqrt{2}+1\right)}\\\\\\=~\sqrt{\sqrt{2}~.~\sqrt{2}~+~\sqrt{2}~.~1~+~(-1)~.~\sqrt{2}~+~(-1)~.~1}\\\\\\=~\sqrt{\sqrt{2}^{\,2}~+~\sqrt{2}~-~\sqrt{2}~-~1}\\\\\\=~\sqrt{2~+0~-~1}\\\\\\=~\sqrt{1}\\\\\\=~\boxed{1}$

Answer 2

Resposta: 1

Explicação passo-a-passo:

√(√2-1)*√(√2+1)=

√[(√2-1)*(√2+1)]=

√(2-1)=

√1=

1