Subtract. Write your answer in simplest form. -9sqrt 7 - 8sqrt 7 ______

Identify like terms: Identify like terms. Both -9sqrt(7) and -8sqrt(7) have the same radical part, sqrt(7), which means they are like terms and can be combined by subtracting the coefficients.Subtract coefficients: Subtract the coefficients. Subtract the coefficient of the second term from the coefficient of the first term. -9 - (-8) = -9 + 8Simplify expression: Simplify the expression. Perform the subtraction of the coefficients. -9 + 8 = -1Combine with radical part: Combine the result with the radical part. Multiply the result from Step 3 by the common radical part sqrt(7). -1 * sqrt(7) = -sqrt(7)Write final answer: Write the final answer in simplest form. The expression is already in its simplest form, so the final answer is -sqrt(7).

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Subtract. Write your answer in simplest form. $\newline$ $-9\sqrt{7} - 8\sqrt{7}$

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Algebra 1

Simplify radical expressions: mixed review

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Q. Subtract. Write your answer in simplest form.

\newline

-9\sqrt{7} - 8\sqrt{7}

Identify like terms: Identify like terms. Both $-9\sqrt{7}$ and $-8\sqrt{7}$ have the same radical part, $\sqrt{7}$ , which means they are like terms and can be combined by subtracting the coefficients.
Subtract coefficients: Subtract the coefficients. $\newline$ Subtract the coefficient of the second term from the coefficient of the first term. $\newline$ $-9 - (-8) = -9 + 8$
Simplify expression: Simplify the expression. $\newline$ Perform the subtraction of the coefficients. $\newline$ $-9 + 8 = -1$
Combine with radical part: Combine the result with the radical part. $\newline$ Multiply the result from Step $3$ by the common radical part $\sqrt{7}$ . $\newline$ $-1 \times \sqrt{7} = -\sqrt{7}$
Write final answer: Write the final answer in simplest form. $\newline$ The expression is already in its simplest form, so the final answer is $-\sqrt{7}$ .