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Add. Write your answer in simplest form. $\newline$ $-4\sqrt{3} + 3\sqrt{3}$

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Add and subtract radical expressions

Full solution

Q. Add. Write your answer in simplest form.

\newline

-4\sqrt{3} + 3\sqrt{3}

Combine Like Terms: Combine the like terms $-4\sqrt{3}$ and $3\sqrt{3}$ . Since both terms have the same radical part, $\sqrt{3}$ , we can add the coefficients directly. $-4\sqrt{3} + 3\sqrt{3} = (-4 + 3)\sqrt{3}$
Simplify Expression: Simplify the expression by adding the coefficients. $\newline$ $(-4 + 3)\sqrt{3} = (-1)\sqrt{3}$ $\newline$ This simplifies to $-\sqrt{3}$ , since multiplying by $-1$ does not change the radical part.

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