Question

if. x=2+√3,find (x+1/x)³​

Answer 1

Answer:

Answer is 9/8.

Step-by-step explanation:

Given,

x = 2+√3

Now consider,

=> (x+1/x)³

=> [(2+√3)+1/(2+√3)]³

=> [(2+√3)+1]³/(2+√3)³

=> (8+3√3) + 1/8+3√3

=> 9+3√3/8+3√3

=> 9/8

(x+1/x)³ = 9/8.