Question

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

Answer 1

Step-by-step explanation:

a-1/a=(a^2-1)/a

=[(2+√3)^2-1]/2+√3

=(4+3+4√3-1)/2+√3

=6+4√3/2+√3

if still need to solve we can rationalise it and continue

Answer 2

Step-by-step explanation:

→2+√3-1/2+√3

→(2+√3)²-1/2+√3

→4+3+4√3-1/2+√3

→6+4√3/2+√3

→(6+4√3)(2-√3)/(2)²-(√3)²

→12-6√3+8√3-12/4-3

→ -6√3+8√3

→2√3