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Add. Write your answer in simplest form. $\newline$ $-9\sqrt{5} + 10\sqrt{5}$

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Add and subtract radical expressions

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Q. Add. Write your answer in simplest form.

\newline

-9\sqrt{5} + 10\sqrt{5}

Combine like terms: Combine the like terms $-9 \sqrt{5}$ and $10 \sqrt{5}$ . Identify the like terms which are the square root terms with the same radicand (number under the square root). $-9 \sqrt{5} + 10 \sqrt{5} = (-9 + 10) \sqrt{5}$
Identify like terms: Simplify the expression by adding the coefficients. $\newline$ $(-9 + 10) \sqrt{5} = 1 \sqrt{5}$ $\newline$ Since $1$ times any number is the number itself, we can simplify this to: $\newline$ $1 \sqrt{5} = \sqrt{5}$

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