# This problem is popular among the math lore

Algebra Level 5

Today, I went to my grandmother's house to eat some delicious apple pie. However, being mischievous as always, she decided to test me with a question before letting me eat the pie.

$\large \lfloor x \lfloor x \lfloor x \lfloor x \rfloor\rfloor\rfloor\rfloor = 88$

If $$\frac AB$$ is the smallest positive value of $$x$$ that satisfy the equation above for coprime positive integer $$A$$ and $$B$$, what is the value of $$A+B$$?

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