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Omni-MATH / Anders is solving a math problem, and he encounters the expression √(15!). He attempts to simplify this radical by expressing it as a√(b) where a and b are positive integers. The s…

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problem

Anders is solving a math problem, and he encounters the expression 15!\sqrt{15!}. He attempts to simplify this radical by expressing it as aba \sqrt{b} where aa and bb are positive integers. The sum of all possible distinct values of abab can be expressed in the form q⋅15!q \cdot 15! for some rational number qq. Find qq.
Plain-text mathematical notation (without MathML)
Anders is solving a math problem, and he encounters the expression √(15!). He attempts to simplify this radical by expressing it as a√(b) where a and b are positive integers. The sum of all possible distinct values of ab can be expressed in the form q⋅15! for some rational number q. Find q.
Original LaTeX notation
Anders is solving a math problem, and he encounters the expression $\sqrt{15!}$. He attempts to simplify this radical by expressing it as $a \sqrt{b}$ where $a$ and $b$ are positive integers. The sum of all possible distinct values of $ab$ can be expressed in the form $q \cdot 15!$ for some rational number $q$. Find $q$.

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Source and history

task_id
cea979c5-0e2b-57e9-bad3-1470bd3c1189
task_key
test--cea979c5-0e2b-57e9-bad3-1470bd3c1189
task_revision_id
1
config / split
/ test

Official source

initial import