Question

设实数p=三次根号4－三次根号6＋三次根号9,求证1

Answer 1

p=2^(2/3)-2^(1/3)*3^(1/3)+3^(2/3)=5/(2^(1/3)+3^(1/3))

注：a^2-ab+b^2=(a^3+b^3)/(a+b)

所以只需证2.5