Question

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

Answer 1

Answer:

x=2+√3

1/x=1/(2+√3)=(2-√3)/(2+√3)(2-√3)=(2-√3)/(4-3)

=2-√3

so,x+1/x=2+√3+2-√3=4

x^3+1/x^3

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

=(4)^3-3.4

=64-12

=52