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Question
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select the most simplified equivalent.
$3\sqrt{6} - 3\sqrt{2}$
answer
$3\sqrt{4}$
$\sqrt{5}$
$3\sqrt{6} - 3\sqrt{2}$
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Step1: Check radical simplification
The expression $3\sqrt{6}-3\sqrt{2}$ has radicals $\sqrt{6}$ and $\sqrt{2}$, which are already in simplest form (no perfect square factors other than 1 under the root).
Step2: Check like radicals
$\sqrt{6}$ and $\sqrt{2}$ are not like radicals, so they cannot be combined further.
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$3\sqrt{6}-3\sqrt{2}$