Add. Write your answer in simplest form. -sqrt 5 + 3sqrt 5 ______

Combine like terms: Combine the like terms -sqrt(5) and 3sqrt(5). Since both terms have the same radical part, sqrt(5), we can add the coefficients directly. -sqrt(5) + 3sqrt(5) = (-1 + 3)sqrt(5)Simplify expression: Simplify the expression (-1 + 3)sqrt(5). Perform the addition inside the parentheses. (-1 + 3)sqrt(5) = 2sqrt(5)Check for simplification: Check for any possible simplification of the radical. Since 5 is a prime number, it cannot be simplified further. Therefore, the simplest form of the expression is 2sqrt(5).

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

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Algebra 1

Add and subtract radical expressions

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Q. Add. Write your answer in simplest form.

\newline

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

Combine like terms: Combine the like terms $-\sqrt{5}$ and $3\sqrt{5}$ . Since both terms have the same radical part, $\sqrt{5}$ , we can add the coefficients directly. $-\sqrt{5} + 3\sqrt{5} = (-1 + 3)\sqrt{5}$
Simplify expression: Simplify the expression $(-1 + 3)\sqrt{5}$ . Perform the addition inside the parentheses. $(-1 + 3)\sqrt{5} = 2\sqrt{5}$
Check for simplification: Check for any possible simplification of the radical. $\newline$ Since $5$ is a prime number, it cannot be simplified further. $\newline$ Therefore, the simplest form of the expression is $2\sqrt{5}$ .