Subtract. Write your answer in simplest form. 9sqrt 7 - 6sqrt 7 ______

Identify like terms: Identify like terms In the expression 9√7 - 6√7, both terms are like terms because they both contain the square root of 7.Subtract coefficients: Subtract the coefficients Since the terms are like terms, we can subtract the coefficients (the numbers in front of the square roots) directly. So we have 9 - 6, which equals 3.Combine with common radical: Combine the result with the common radical part After subtracting the coefficients, we combine the result with the common radical part (√7). This gives us 3√7.Check for simplification: Check for simplification The expression 3√7 is already in its simplest form because 7 is a prime number and cannot be simplified further.

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Subtract. Write your answer in simplest form. $\newline$ $9\sqrt{7} - 6\sqrt{7}$

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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} - 6\sqrt{7}

Identify like terms: Identify like terms In the expression $9\sqrt{7} - 6\sqrt{7}$ , both terms are like terms because they both contain the square root of $7$ .
Subtract coefficients: Subtract the coefficients $\newline$ Since the terms are like terms, we can subtract the coefficients (the numbers in front of the square roots) directly. So we have $9 - 6$ , which equals $3$ .
Combine with common radical: Combine the result with the common radical part $\newline$ After subtracting the coefficients, we combine the result with the common radical part ( $\sqrt{7}$ ). This gives us $3\sqrt{7}$ .
Check for simplification: Check for simplification $\newline$ The expression $3\sqrt{7}$ is already in its simplest form because $7$ is a prime number and cannot be simplified further.