Add. Write your answer in simplest form. -3sqrt 2 + 9sqrt 2 ______

Combine Like Terms: Combine the like terms -3sqrt(2) and 9sqrt(2). Since both terms have the same radical part, sqrt(2), we can add the coefficients directly. -3sqrt(2) + 9sqrt(2) = (-3 + 9)sqrt(2)Perform Addition of Coefficients: Perform the addition of the coefficients. -3 + 9 = 6 So, the expression becomes 6sqrt(2).Check for Simplification: Check for any possible simplification. The term 6sqrt(2) is already in its simplest form since 6 is an integer and sqrt(2) is an irrational number that cannot be simplified further.

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Add. Write your answer in simplest form. $\newline$ $-3\sqrt{2} + 9\sqrt{2}$

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Algebra 1

Add and subtract radical expressions

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Q. Add. Write your answer in simplest form.

\newline

-3\sqrt{2} + 9\sqrt{2}

Combine Like Terms: Combine the like terms $-3\sqrt{2}$ and $9\sqrt{2}$ . Since both terms have the same radical part, $\sqrt{2}$ , we can add the coefficients directly. $-3\sqrt{2} + 9\sqrt{2} = (-3 + 9)\sqrt{2}$
Perform Addition of Coefficients: Perform the addition of the coefficients. $\newline$ $-3 + 9 = 6$ $\newline$ So, the expression becomes $6\sqrt{2}$ .
Check for Simplification: Check for any possible simplification. $\newline$ The term $6\sqrt{2}$ is already in its simplest form since $6$ is an integer and $\sqrt{2}$ is an irrational number that cannot be simplified further.