Question

it being given that √3=1.732 find the to three places of decimals .. 2-√3/√3

Answer 1

Hi ,

√3 = 1.732 ---( 1 )

( 2 - √3 )/√3

= [ √3 ( 2 - √3 ) ]/( √3 × √3 )

= [ 2√3 - 3 ] /3

= ( 2 × 1.732 - 3 ) / 3

= ( 3.464 - 3 )/3

= ( 0.464 )/3

≈ 0.1546

≈ 0.155

I hope this helps you.

: )

Answer 2

$\frac{2- \sqrt{3} }{ \sqrt{3} }$

By Rationalization

=> $\frac{2 - \sqrt{3} }{ \sqrt{3} }$×$\frac{ \sqrt{3} }{ \sqrt{3} }$

=> $\frac{ \sqrt{3}(2 - \sqrt{3} ) }{3}$

=> $\frac{2 \sqrt{3} - 3 }{3}$

=> $\frac{2(1.732) - 3}{3}$

=> (3.464 - 3)/3
=> (0.464)/3
= > 0.1546
=> 0.155   - approximately