Find the value to three places of decimals of each of the following. It is given that $\sqrt{2} = 1.414, \sqrt{3} = 1.732, \sqrt{5} = 2.236$ and $\sqrt{10} = 3.162$
$\frac{\sqrt{2} - 1}{\sqrt{5}}$

Open in App

Solution

Given that:-
$\sqrt{2} = 1.414$
$\sqrt{3} = 1.732$
$\sqrt{5} = 2.236$
$\sqrt{10} = 3.162$
$∴ \frac{\sqrt{2} - 1}{\sqrt{5}} = \frac{1.414 - 1}{2.236} = \frac{0.414}{2.236} = 0.1851520 \approx 0.185$
Hence, the correct answer is $0.185$ .

Suggest Corrections

Similar questions

\sqrt{2} = 1.414, \sqrt{3} = 1.732, \sqrt{5} = 2.236

\sqrt{10} = 3.162

\frac{2 + \sqrt{3}}{3}

\sqrt{2} = 1.414, \sqrt{3} = 1.732

\sqrt{5} = 2.236

\frac{\sqrt{10} - \sqrt{5}}{2}

Join BYJU'S Learning Program