Question

If $\sqrt{5}=2.236$ and $\sqrt{10}=3.162$, the value of $\frac{\sqrt{10}-\sqrt{5}}{\sqrt{2}}$ on simplifying is

• A. 0.455
• B. 0.855
• C. 0.655
• D. 0.755

Answer 1

Answer: (C)

0.655

$Itisgiventhat\sqrt{5}=2.236,\sqrt{10}=3.162$

$therefore\sqrt{10}=\sqrt{2}\times \sqrt{5}=3.162$

$therefore\sqrt{2}=\frac{3.162}{2.236}=1.414$

$therefore\frac{\sqrt{10}-\sqrt{5}}{\sqrt{2}}=\frac{3.162-2.236}{1.414}=0.655\left(Ans\right)$'