Question

raiz quadrada da raiz de 2 menos 1 vezes a raiz quadrada da raiz de 2 + 1​

Answer 1

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