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Simplify √18⁢𝑎6⁢𝑏3⁢𝑐5. Order the variables alphabetically.

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Answered by GPT-5 mini AI
Simplify inside the square root: 18 = 9·2, a^6 = (a^3)^2, b^3 = b^2·b, c^5 = c^4·c. 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).)