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

Identify like terms: Identify like terms. Both -2sqrt(7) and -10sqrt(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. The coefficients of the like terms are -2 and -10. To subtract these, we combine them as follows: -2 - (-10) = -2 + 10.Perform subtraction: Perform the subtraction. Calculating -2 + 10 gives us 8.Combine with radical part: Combine the result with the radical part. Since the radical part sqrt(7) remains unchanged, we combine it with the result from the previous step to get 8sqrt(7).

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

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Algebra 1

Simplify radical expressions: mixed review

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Q. Subtract. Write your answer in simplest form.

\newline

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

Identify like terms: Identify like terms. Both $-2\sqrt{7}$ and $-10\sqrt{7}$ 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. $\newline$ The coefficients of the like terms are $-2$ and $-10$ . To subtract these, we combine them as follows: $-2 - (-10) = -2 + 10$ .
Perform subtraction: Perform the subtraction. $\newline$ Calculating $-2 + 10$ gives us $8$ .
Combine with radical part: Combine the result with the radical part. $\newline$ Since the radical part $\sqrt{7}$ remains unchanged, we combine it with the result from the previous step to get $8\sqrt{7}$ .