The distributive property with radicals

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Learn it The distributive property works with radicals: $a(b + c) = ab + ac$. Multiply the outside radical by every term inside, simplify each product, then collect like radicals.

Example: $2\sqrt{3}(4\sqrt{6} - \sqrt{2})$

$2\sqrt{3} \times 4\sqrt{6} = 8\sqrt{18} = 8 \times 3\sqrt{2} = 24\sqrt{2}$.
$2\sqrt{3} \times \sqrt{2} = 2\sqrt{6}$.
Answer: $24\sqrt{2} - 2\sqrt{6}$.

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