Question

Racionalizando \(1/(√x+√2) \) obtemos como resposta : \((√x+√2)\(x-2) \) \((√x-√2)\(x+2) \) \((√x-√2)\(x-2) \) \(√x-√2 \) \(x-2 \

Answer 1

$\frac{1}{\sqrt{x}+\sqrt{2}  } . \frac{\sqrt{x}-\sqrt{2}  }{\sqrt{x}-\sqrt{2}  } = \frac{\sqrt{x}-\sqrt{2}  }{x-\sqrt{2.x}+\sqrt{2.x}-2   } = \frac{\sqrt{x}-\sqrt{2}  }{x-2}$

Resposta →  \(√x-√2 \) \(x-2 \