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Add. Write your answer in simplest form. $\newline$ $-8\sqrt{3} + 3\sqrt{3}$

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Add and subtract radical expressions

Full solution

Q. Add. Write your answer in simplest form.

\newline

-8\sqrt{3} + 3\sqrt{3}

Combine like terms: Combine the like terms $-8\sqrt{3}$ and $3\sqrt{3}$ . $\newline$ Since both terms have the same radical part, $\sqrt{3}$ , we can add the coefficients directly. $\newline$ $-8\sqrt{3} + 3\sqrt{3} = (-8 + 3)\sqrt{3}$
Simplify expression: Simplify the expression by adding the coefficients. $\newline$ $(-8 + 3)\sqrt{3} = -5\sqrt{3}$ $\newline$ This is the simplest form since the radical cannot be simplified further and the coefficient is an integer.

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