Question

If p=2-√3,q=√3-√7 and r=√7-√4, then find the value of p^3+q^3+r^3

Answer 1

P+q+r=0

Then p^3 +q^3 +r^3 =3pqr

=3(2-v3)(v3-v7)(v7-2)

=3[4v7+3v3-8)