Question

if a=2+√3 then find the value of a-1/a​

Answer 1

Answer:

a=2+√3

a-1/a

=2+√3-1/(2+√3)

=[(2+√3)²-1]/(2+√3)

=(4+3-4√3)/(2+√3)

=(7-4√3)/(2+√3)

Answer 2

ANSWER:-

GIVEN THAT,

$a = 2 + \sqrt{3}$

Then, value of

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

$= 2 + \sqrt{3} - \frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } \: on \: ratinalise$

$= 2 + \sqrt{3} - (\frac{2 - \sqrt{3} }{4 - 3} )$

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

$= 2 \sqrt{3}$

HENCE, THIS IS THE ANSWER.

HOPE IT'S HELPS YOU ❣️