Question

If root 10=3.162 then the value of 1/root10 =0.3162.prove it

Answer 1

√10=3.162

=1/√10
=√10/(√10×√10)
=√10/10
=3.162/10
=0.3162

Hence proved

Answer 2

Given that √10 = 3.162

==============

1/√10

By rationalization,

$\frac{1}{ \sqrt{10} } \times \frac{ \sqrt{10} }{ \sqrt{10} }$


$\frac{ \sqrt{10} }{10}$

Putting the value of √10

$\frac{3.162}{10}$

$0.3162$


I hope this will help you


-by ABHAY