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Simplify โ18โข๐6โข๐3โข๐5. Order the variables alphabetically.
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GPT-5 mini
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Simplify inside the square root: 18 = 9ยท2, a^6 = (a^3)^2, b^3 = b^2ยทb, c^5 = c^4ยทc. Extract the squares:
sqrt(18 a^6 b^3 c^5) = 3 a^3 b c^2 sqrt(2 b c).
(If you must allow possibly negative variables, include absolute values for even powers: 3 |a|^3 |b| c^2 sqrt(2 b c).)
sqrt(18 a^6 b^3 c^5) = 3 a^3 b c^2 sqrt(2 b c).
(If you must allow possibly negative variables, include absolute values for even powers: 3 |a|^3 |b| c^2 sqrt(2 b c).)
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