Question

qual o calculo explicativo para tirar a raiz quadrada de :
2-√2
-------
√2-1

Answer 1

Cálculos importantes:
(2-√2) · (√2 +1) =2√2 + 2 - √4 -√2 = 2√2 + 2 - 2 -√2 = √2
(√2 -1) · (√2 +1) = √4 +√2 - √2 - 1 = 2 +√2 - √2 - 1 = 1

$\frac{2- \sqrt{2} }{\sqrt{2}-1} = \frac{2- \sqrt{2} }{\sqrt{2}-1} \cdot \frac{\sqrt{2}+1}{\sqrt{2}+1} = \frac{ \sqrt{2}}{1} = \sqrt{2}$