Question

if x=2+√3find the value of x^3+1/x^3​

Answer 1

Answer:

52

Step-by-step explanation:

x=2+root3

now,x^3+1/x^3= (x+1/x)^3-3(x+1/x)

now, 1/x=1/2+root3 then rationalise it

we get 1/x=2-root3 then substitute the values in the above expanded equation

(2+root3+2-root3)^3-3(2+root3+2-root3)=(4)^3-3(4)=64-12=52