Question

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 $\sqrt{10}=3.162$
$\frac{\sqrt{2}-1}{\sqrt{5}}$

Answer 1

Given that:-

$\sqrt{2}=1.414$

$\sqrt{3}=1.732$

$\sqrt{5}=2.236$

$\sqrt{10}=3.162$

$\therefore \frac{\sqrt{2}-1}{\sqrt{5}}=\frac{1.414-1}{2.236}=\frac{0.414}{2.236}=0.1851520\approx 0.185$

Hence, the correct answer is $0.185$.