Computing Nested Roots
Algebra
Level
5
It is known that\[ 3\cdot \sqrt{5\cdot\sqrt[3]{37}-16} = \sqrt[3]{a} - \sqrt[3]{b} - c, \]
where \(a, b\) and \(c\) are positive integers. What is the value of \(a+b+c ?\)
by
Calvin Lin