Question

If x= 2 + √3 find the value of
(x^2+ 1/x^2) and (x+1/2)^2​

Answer 1

Answer:

given x=2+√3

find (x^2+1/x^2)

solution

putting the value of x

(2+√3)^2+1/(2+√3)^2

=[(2+√3)^2][(2+√3)^2]+1÷(2+√3)^2

=(2+√3)^2+1

=4+3+2×2√3+1

=7+4√3+1

=8+4√3

=12√3