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Distribute and simplify the radicals below.
(square root 12+6) (-square root 8 - squareroot 2)
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GPT-5 mini
AI
(√12 + 6)(-√8 - √2)
√12 = 2√3, √8 = 2√2, so -√8 - √2 = -2√2 - √2 = -3√2.
Thus (2√3 + 6)(-3√2) = -6√6 - 18√2.
You can factor: -6(√6 + 3√2) = -6√2(√3 + 3).
√12 = 2√3, √8 = 2√2, so -√8 - √2 = -2√2 - √2 = -3√2.
Thus (2√3 + 6)(-3√2) = -6√6 - 18√2.
You can factor: -6(√6 + 3√2) = -6√2(√3 + 3).
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