Add. Write your answer in simplest form. -4sqrt 7 + 8sqrt 7 ______

Identify like terms: Identify like terms We have two terms, -4√7 and 8√7, which both contain the radical √7. Since they have the same radical part, they are like terms and can be combined by adding their coefficients.Add coefficients: Add the coefficients The coefficients of the terms are -4 and 8. We add these coefficients together to find the sum of the two terms. -4 + 8 = 4Combine with radical: Combine the sum with the common radical After adding the coefficients, we combine the sum with the common radical √7. 4√7Check for simplification: Check for simplification The term 4√7 is already in its simplest form because 7 is a prime number and cannot be simplified further.

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Add. Write your answer in simplest form. $\newline$ $-4\sqrt{7} + 8\sqrt{7}$

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Algebra 1

Simplify radical expressions: mixed review

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Q. Add. Write your answer in simplest form.

\newline

-4\sqrt{7} + 8\sqrt{7}

Identify like terms: Identify like terms $\newline$ We have two terms, $-4\sqrt{7}$ and $8\sqrt{7}$ , which both contain the radical $\sqrt{7}$ . Since they have the same radical part, they are like terms and can be combined by adding their coefficients.
Add coefficients: Add the coefficients $\newline$ The coefficients of the terms are $-4$ and $8$ . We add these coefficients together to find the sum of the two terms. $\newline$ $-4 + 8 = 4$
Combine with radical: Combine the sum with the common radical $\newline$ After adding the coefficients, we combine the sum with the common radical $\sqrt{7}$ . $\newline$ $4\sqrt{7}$
Check for simplification: Check for simplification $\newline$ The term $4\sqrt{7}$ is already in its simplest form because $7$ is a prime number and cannot be simplified further.