Question

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

Answer 1

(3+2√3)+1/(3+2√3)+2

Now, rationalize 1/x-

=(9+6√3-3+2√3+6)/3

=(12+8√3)/3

=4(3+2√3)/3

.

. . (√x+1/√x)=±(√(4(3+2√3)/3)

=±(2√(3+2√3)/3