Question

If x minus one by X equal to 3 + 2 root 2 then find the value of x cube minus 1 by x cube

Answer 1

given,
x-1/x =3 +2√2
then,
x^3 -1/x^3
=(x-1/x)^3 +3.x.1/x. (x-1/x)
=(3+2√2)^3 + 3.(3+2√2)
=197•99 + 17•48
=215•47