Question

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

Answer 1

Answer:

2root3

Step-by-step explanation:

i know solution 2root3

Answer 2

Given that,

$a = 2+\sqrt{3}$

Now,

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

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

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

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

=$2\sqrt{3}$

Hope this will help you.