Identify Like Terms: Identify the like terms in the expression -9sqrt(15) + 10sqrt(15). Both terms have the same radical part, sqrt(15), which means they are like terms and can be combined.Combine Coefficients: Combine the like terms by adding the coefficients -9 and 10 together. The calculation is -9 + 10.Perform Addition: Perform the addition to find the sum of the coefficients. The sum is 1.Write Final Expression: Write the final simplified expression by multiplying the sum of the coefficients by the common radical part. The final expression is 1 * sqrt(15), which simplifies to sqrt(15).

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$-9 \sqrt{15}+10 \sqrt{15}$

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-9 \sqrt{15}+10 \sqrt{15}

Identify Like Terms: Identify the like terms in the expression $-9\sqrt{15} + 10\sqrt{15}$ . Both terms have the same radical part, $\sqrt{15}$ , which means they are like terms and can be combined.
Combine Coefficients: Combine the like terms by adding the coefficients $-9$ and $10$ together. $\newline$ The calculation is $-9 + 10$ .
Perform Addition: Perform the addition to find the sum of the coefficients. $\newline$ The sum is $1$ .
Write Final Expression: Write the final simplified expression by multiplying the sum of the coefficients by the common radical part. $\newline$ The final expression is $1 \times \sqrt{15}$ , which simplifies to $\sqrt{15}$ .