1) If $\sqrt{2}$ = 1.414 ,the square root of $\frac{\sqrt{2}-1}{\sqrt{2}+1}$ is nearest to : A) 0.172 B) 0.414 C) 0.586 D) 1.414 Answer: Option BExplanation:$\frac{\sqrt{2}-1}{\sqrt{2}+1}=\frac{\sqrt{2}-1}{\sqrt{2}+1}\times\frac{\sqrt{2}-1}{\sqrt{2}-1}= (\sqrt{2}-1)^{2}$$\sqrt{\frac{\sqrt{2}-1}{\sqrt{2}+1}}=\sqrt{2}-1=1.414-1= 0.414$
