Question

given root under 2 is equals to 1.414 and root under 6 is equals to 2.449 find the value of 1 by root under 3 - root under 2 - 1 correct to 3 places of decimal

Answer 1

$\sqrt{2} = 1.414 \: \: \: and \: \: \: \sqrt{6} = 2.449$
$\sqrt{3 } = \frac{ \sqrt{6} }{ \sqrt{ 3} }$
$\sqrt{3} = \frac{2.449}{1.414} = 1.731$
Calculate:
$\frac{1}{ \sqrt{3} } - \sqrt{2} - 1$
Taking L.C.M:
$\frac{1 - \sqrt{6} - \sqrt{3} }{ \sqrt{3} }$
Putting the values:
$\frac{1 - 2.449 - 1.731}{1.731}$
$- 1.837 \: = ans$