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

The correct option is C $0.655$

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

Here, $\sqrt{2}=\frac{\sqrt{10}}{\sqrt{5}}=\frac{3.162}{2.236}=1.414$.

Then, $\frac{\sqrt{10}-\sqrt{5}}{\sqrt{2}}=\frac{3.162-2.236}{1.414}=0.654$.

Therefore, option $C$ is correct.