Question

x= 2+√3
find the value of x^2+1/x^2​

Answer 1

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Answer 2

Answer:1586+480√3/121

Step-by-step explanation:

x=2+√3

x^2=(2+√3)^2

     =4+9+4√3

     =13+4√3

1/x^2=1/(2+√3)^2

        =1/13+4√3

Multiply and divide by 13-4√3

=13-4√3/169-48

=13-4√3/121

x^2+1/x^2=13+4√3+13-4√3/121

=121(13+4√3)+13-4√3/121

=1573+484√3+13-4√3/121

=1586+480√3/121