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

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Add and subtract radical expressions

Full solution

Q. Add. Write your answer in simplest form.

\newline

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

Identify Like Terms: Identify the like terms in the expression. $\newline$ $-3\sqrt{5} + 5\sqrt{5}$ combines the coefficients of the like radical terms.
Combine Coefficients: Combine the coefficients: $( -3 + 5 ) \sqrt{5}$ $\newline$ Perform the addition of the coefficients $-3$ and $5$ . $\newline$ $-3 + 5 = 2$
Perform Addition: Write the final simplified expression. $2 \sqrt{5}$ is the simplest form of the expression.

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