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Add. Write your answer in simplest form. $\newline$ $-10\sqrt{3} + 7\sqrt{3}$

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Add and subtract radical expressions

Full solution

Q. Add. Write your answer in simplest form.

\newline

-10\sqrt{3} + 7\sqrt{3}

Combine like terms: Combine the like terms $-10 \sqrt{3}$ and $7 \sqrt{3}$ . $\newline$ Since both terms have the same radical part, $\sqrt{3}$ , we can add the coefficients directly. $\newline$ $-10 \sqrt{3} + 7 \sqrt{3} = (-10 + 7) \sqrt{3}$
Simplify expression: Simplify the expression by adding the coefficients. $\newline$ $(-10 + 7) \sqrt{3} = -3 \sqrt{3}$ $\newline$ This is the simplest form since the radical cannot be simplified further and the coefficients have been combined.

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