Add. Write your answer in simplest form. -10sqrt 2 + 7sqrt 2 ______

Combine like terms: Combine the like terms -10 sqrt(2) and 7 sqrt(2). Identify the like terms that can be combined by adding their coefficients. -10 sqrt(2) + 7 sqrt(2) = (-10 + 7) sqrt(2)Simplify expression: Simplify the expression (-10 + 7) sqrt(2). Calculate the sum of the coefficients and multiply by the common radical. (-10 + 7) sqrt(2) = -3 sqrt(2)Check for simplification: Check for any possible simplification. Since -3 is the simplest form of the coefficient and sqrt(2) cannot be simplified further, the expression is already in its simplest form. -3 sqrt(2) is the final answer.

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Add. Write your answer in simplest form. $\newline$ $-10\sqrt{2} + 7\sqrt{2}$

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Algebra 1

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Q. Add. Write your answer in simplest form.

\newline

-10\sqrt{2} + 7\sqrt{2}

Combine like terms: Combine the like terms $-10 \sqrt{2}$ and $7 \sqrt{2}$ . Identify the like terms that can be combined by adding their coefficients. $-10 \sqrt{2} + 7 \sqrt{2} = (-10 + 7) \sqrt{2}$
Simplify expression: Simplify the expression $(-10 + 7) \sqrt{2}$ . $\newline$ Calculate the sum of the coefficients and multiply by the common radical. $\newline$ $(-10 + 7) \sqrt{2} = -3 \sqrt{2}$
Check for simplification: Check for any possible simplification. $\newline$ Since $-3$ is the simplest form of the coefficient and $\sqrt{2}$ cannot be simplified further, the expression is already in its simplest form. $\newline$ $-3 \sqrt{2}$ is the final answer.