# Nested Cube Roots

Algebra Level 2

If $$\sqrt[3]{ \frac{80}{27} +\sqrt[3]{ \frac{80}{27}+\sqrt[3]{ \frac{80}{27} +... }}}$$ =$$\frac{a}{b}$$ where a and b are co-prime numbers.

What is the value of $$a+b$$?

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