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Add. Write your answer in simplest form. $\newline$ $-3\sqrt{5} + 8\sqrt{5}$

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Add and subtract radical expressions

Full solution

Q. Add. Write your answer in simplest form.

\newline

-3\sqrt{5} + 8\sqrt{5}

Combine like terms: Combine the like terms $-3\sqrt{5}$ and $8\sqrt{5}$ . $\newline$ Identify the like terms which are both terms with $\sqrt{5}$ . $\newline$ $-3\sqrt{5} + 8\sqrt{5} = (-3 + 8)\sqrt{5}$
Simplify expression: Simplify the expression $(-3 + 8)\sqrt{5}$ . Perform the addition inside the parentheses. $(-3 + 8)\sqrt{5} = 5\sqrt{5}$

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