Question

please solve this question​

Answer 1

X = 2 + √3 

1/x = 1/(2 + √3) 

= (2 -√3)/(2 +√3)(2 -√3) 

= (2 -√3)/(2² -√3²) 

= (2 - √3)

hence, x + 1/x = (2+√3)+(2-√3) = 4 

x³ + 1/x³ = (x + 1/x)³ -3(x + 1/x) 

= (4)³ - 3(4) 

= 64 -12 

= 52