Question

If x=2+root 3 find the value of x^2 -1/x^2

Answer 1

These photos have step by step answer.

Answer 2

Step-by-step explanation:

X=2+√3

X²=(2+√3)²

= 4+3+4√3

= 7+4√3

1/X²=1/(2+√3)²

=1/(7+4√3)

= 1/(7+4√3) × (7-4√3)/(7+4√3)

=7-4√3/{(7) ² - (4√3) ²}

=7-4√3/(48-48)

=7-4√3

now,

X² - 1/X²

7+4√3 -(7-4√3)

7+4√3-7+4√3

4√3+4√3

8√3