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MATH / Simplify (3)/(root[5](16))+(1)/(√(3)) and rationalize the denominator. The result can be expressed in the form (a²root[5](b)+b√(a))/(ab), where a and b are integers. What is the va…

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problem

Simplify 3165+13\frac{3}{\sqrt[5]{16}}+\frac{1}{\sqrt{3}} and rationalize the denominator. The result can be expressed in the form a2b5+baab\frac{a^2\sqrt[5]{b}+b\sqrt{a}}{ab}, where aa and bb are integers. What is the value of the sum a+ba+b?
Plain-text mathematical notation (without MathML)
Simplify (3)/(root[5](16))+(1)/(√(3)) and rationalize the denominator. The result can be expressed in the form (a²root[5](b)+b√(a))/(ab), where a and b are integers. What is the value of the sum a+b?
Original LaTeX notation
Simplify $\frac{3}{\sqrt[5]{16}}+\frac{1}{\sqrt{3}}$ and rationalize the denominator. The result can be expressed in the form $\frac{a^2\sqrt[5]{b}+b\sqrt{a}}{ab}$, where $a$ and $b$ are integers. What is the value of the sum $a+b$?

level

Level 5

type

Algebra

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Source and history

task_id
0661feac-43fe-5076-aecf-71ebd5198c57
task_key
algebra--test--0661feac-43fe-5076-aecf-71ebd5198c57
task_revision_id
1
config / split
algebra / test

Official source

initial import