Question

if a=2+root3 then find the value of a^2+1/a^2​

Answer 1

Answer:

( 2 + root 3)² + 1 / ( 2+ root 3) ²

(4+ 3) + 1/ (4 + 3)

7 + 1 /7

7 ×7 + 1 / 7

49 + 1 / 7

50 / 7

Answer 2

Step-by-step explanation:

a=2+√3

a^2+1/a^2

= (2+√3)^2+1/(2+√3)^2

=4+3+4√3+1/4+3+4√3

=7+4√3 + 1/ 7+4√3

=((7+4√3)^2 + 1)÷7+4√3

= (49+16x3 + 2x7x4√3 + 1)÷4√3

= (98+14x4√3)÷4√3