Question

which expression is equivalent to the given expression? $8sqrt{6} + 3sqrt{6} - 2sqrt{6}$
a. $13sqrt{6}$
b. $9sqrt{6}$
c. $sqrt{54}$
d. $54$
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Explanation:

Step1: Combine like terms

Since all terms have the same radical part $\sqrt{6}$, we can combine the coefficients. The coefficients are 8, 3, and -2. So we calculate $8 + 3 - 2$.
$8 + 3 - 2 = 9$

Step2: Write the combined expression

After combining the coefficients, we multiply the result by $\sqrt{6}$. So the expression becomes $9\sqrt{6}$.

Answer:

B. $9\sqrt{6}$