Question

Solve it..

NEED PERFECT METHOD..
your answer will be selected as brainliest..


THANKS

Answer 1

Given a = 2 + root 3

$\frac{1}{a} = \frac{1}{2 + \sqrt{3} }$

On rationalizing, we get

$\frac{1}{a} = \frac{1}{2 + \sqrt{3} } * \frac{2- \sqrt{3} }{2- \sqrt{3} }$

$\frac{1}{a} = \frac{2 - \sqrt{3} }{4 - 3}$

$\frac{1}{a} = 2 - \sqrt{3}$


Now,

$a - \frac{1}{a} = 2 + \sqrt{3} - (2 - \sqrt{3} )$

                            = $2 + \sqrt{3} - 2 + \sqrt{3}$

                            = $2 \sqrt{3}$



Hope this helps!

Answer 2

Hi,

Please see the attached file!


Thanks