Question

If a=2+√3,find the value of a-1/a

Answer 1

Answer:

2 / 1+√3

Step-by-step explanation:

a=2+√3

Now a-1= 1+√3

a-1/a

=1+√3 / 2+√3

=(1-√3)×(1+√3) / (2+√3)×(1-√3)

={ (1)^2 - (√3)^2 } / {2+√3-2√3-3}

=(-2) / (-1-√3)

=2 / 1+√3