Question

if a = 2 + √3 then find a - 1/a​

Answer 1

Answer:

The answer is 6.

Step-by-step explanation:

2+√3-1/2+√3=6

Answer 2

Solution:

• a = 2 + √3

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

$a - \frac{1}{a} = 2 + \sqrt{3} - \frac{1}{2 + \sqrt{3} } \\ = \frac{ {(2 + \sqrt{3} )}^{2} - 1}{2 + \sqrt{3} } \\ \boxed{ \bf \huge \green{a - \frac{1}{a} = \frac{ 7 + 4 \sqrt{3} - 1}{2 + \sqrt{3} }}}$