Question

a=2+√3,then find a - 1/a​

Answer 1

Answer:

your answer is 2√3 by rationalization method

Answer 2

Step-by-step explanation:

a - 1/a

= (a² + 1 )/a

= (2+√3)² + 1 / 2+√3

= 5 +2√3 + 1 /2+√3

= 6 + 2√3 /2+√3

= (6 + 2√3) x (2-√3) / 4 - 3

= 12 - 6 + 4√3 - 6√3

= 6 - 2√3