Question

if a=2+√3 then find value of (a-1/a)^2​

Answer 1

Answer:

12

Step-by-step explanation:

check out the image for explanation

Answer 2

Answer:

12

Step-by-step explanation:

a = 2 + √3.

1/a = 1/2 + √3 = 2 - √3/(2+√3)(2 -√3) = 2 - √3/4 - 3 = 2 - √3

Now

(a - 1/a)² = [2 + √3 - (2 - √3)]² = [2 + √3 - 2 + √3]² = [2√3]² = 12.