Question

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

Answer 1

Answer:

x=2+√3

1/x=1/(2+√3)

=(2-√3)/(2+√3)(2-√3)

=(2-√3)/(2^2-√3^2)

=(2-√3)/(4-3)

=(2-√3)/1

=2-√3

x+1/x

=2+√3+2-√3

=4

x^3+1/x^3

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

=4^3-3.4

=64-12

=52