Question

if underroot2=1.414 and under root3=1.732 find under root 6-1/under root 3 upto three places of decimal

Answer 1

$given \\ \sqrt{2} = 1.414 and \: \sqrt{3} = 1.732 \\ find \\ \frac{ \sqrt{6} - 1}{ \sqrt{3} } \\ rationalise \\ \frac{ (\sqrt{6} - 1) \times ( \sqrt{3}) }{ \sqrt{3} \times \sqrt{3} } \\ \frac{3 \sqrt{2} - \sqrt{3} }{3} \\ \frac{(3 \times 1.414) - 1.732}{3 } \\ \frac{4.242 - 1.732}{3} \\ \frac{2.51}{3} = 0.83666..... \\ therefore \: ans \: is \: 0.836$

Answer 2

√2=1.414

√3=1.732

√6-1=(√2.√3)-1

=2.449-1

=1.449

√6-1/√3=1.449/1.732=0.865

Hope this answer will help you