Radically Remarkable Root
Algebra
Level
5
\[\large 6x^3-3x^2-6x-4=0\]
The real root to the equation above can be written in the form \(\large \dfrac{\sqrt[3]{a}+\sqrt[3]{b}+1}{c}\), where \(a\), \(b\) and \(c\) are positive integers.
Find \(a+b+c\).
by
Abhay Kumar