Question

If a=3+√8,the value of a²+1∕a²​

Answer 1

Answer:

34

Step-by-step explanation:

a=3+√8

1/a =1/+3+√8)

=rationalize the denominator.

=3-√8/(3+√8)(3-√8)

=3-√8/9-8

=3-√8

Now,

a+1/a

= 3+√8 +3-√8

=6

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

= (6)^2 -2

=36-2

34