Question

if X =2+√3, find the value of x^3+1/x^3​

Answer 1

Answer:

x+1/x=(2+√3) +1/(2+√3)

=((2+√3)(2+√3) +1)/(2+√3)

=(8+4√3)/(2+√3)

=(8+4√3)(2-√3)/(2+√3)(2-√3)

=4

(x+1/x)^3= x^3 +1/x^3 +3(x+1/x)(x/x)

4^3=x^+1/x^3+3(4)

64-12 =x3+1/x3

52=x3+1/x3

Step-by-step explanation: