# Sum This!

Algebra Level 2

$\Large{\frac1{\sqrt[3]{1}+\sqrt[3]{2}+\sqrt[3]{4}} + \frac1{\sqrt[3]{4}+\sqrt[3]{6}+\sqrt[3]{9}} + \frac1{\sqrt[3]{9}+\sqrt[3]{12}+\sqrt[3]{16}}}$

If the expression above can be simplified to the form of $${\sqrt[3] a + b}$$ for integers $$a$$ and $$b$$, find the value of $$a+b$$.

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