Question

If x=2-√3, Then find the value of ( x +1/x) cube

Answer 1

Answer:

x + 1/x

=2-√3+1/2-√3

=2-√3+1/(2-√3) ×(2+√3)/(2+√3)

2-√3+(2+√3)/(2²-√3²)

2-√3+(2+√3)/(4-3)

2-√3+(2+√3)/1

2+2-√3+√3

2+2