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Simplify 3√12 +8✓12 - √6 how

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In order to simplify this equation, we are going to start by simplifying the radicals.


\sqrt[]{12}=\sqrt[]{2^2\cdot3}=\text{2}\sqrt[]{3}

Now we have the radicals simplified and we are going to replace them on the equation that we already have.


\begin{gathered} 3\cdot(2\sqrt[]{3})+8\cdot(2\sqrt[]{3})-\sqrt[]{6} \\ 6\sqrt[]{3}+16\sqrt[]{3}-\sqrt[]{6} \\ 22\sqrt[]{3}-\sqrt[]{6} \end{gathered}

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