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Add. Write your answer in simplest form. $\newline$ $-6\sqrt{3} + 3\sqrt{3}$

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Add and subtract radical expressions

Full solution

Q. Add. Write your answer in simplest form.

\newline

-6\sqrt{3} + 3\sqrt{3}

Combine like terms: Combine the like terms $-6 \sqrt{3}$ and $3 \sqrt{3}$ . Since both terms have the same radical part, $\sqrt{3}$ , we can add the coefficients directly. $-6 \sqrt{3} + 3 \sqrt{3} = (-6 + 3) \sqrt{3}$
Simplify expression: Simplify the expression $(-6 + 3) \sqrt{3}$ . Perform the addition within the parentheses. $(-6 + 3) \sqrt{3} = -3 \sqrt{3}$

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