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MATH / Rationalize the denominator of (2)/(root[3](4)+root[3](32)). The answer can be written in the form of (root[3](A))/(B), where A and B are positive integers. Find the minimum possib…

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problem

Rationalize the denominator of 243+323\frac{2}{\sqrt[3]{4}+\sqrt[3]{32}}. The answer can be written in the form of A3B\frac{\sqrt[3]{A}}{B}, where AA and BB are positive integers. Find the minimum possible value of A+BA+B.
Plain-text mathematical notation (without MathML)
Rationalize the denominator of (2)/(root[3](4)+root[3](32)). The answer can be written in the form of (root[3](A))/(B), where A and B are positive integers. Find the minimum possible value of A+B.
Original LaTeX notation
Rationalize the denominator of $\frac{2}{\sqrt[3]{4}+\sqrt[3]{32}}$. The answer can be written in the form of $\frac{\sqrt[3]{A}}{B}$, where $A$ and $B$ are positive integers. Find the minimum possible value of $A+B$.

level

Level 5

type

Algebra

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Source and history

task_id
015d5541-a4f1-5fdf-80ad-4660359811b9
task_key
algebra--test--015d5541-a4f1-5fdf-80ad-4660359811b9
task_revision_id
1
config / split
algebra / test

Official source

initial import