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. $54$
reset selection

Explanation:

Step1: Combine like terms

Since all terms have the same radical part $\sqrt{6}$, we can combine the coefficients. The expression is $8\sqrt{6} + 3\sqrt{6} - 2\sqrt{6}$, so we add and subtract the coefficients: $8 + 3 - 2$.

Step2: Calculate the coefficient

First, $8 + 3 = 11$, then $11 - 2 = 9$. So the combined expression is $9\sqrt{6}$.

Answer:

B. $9\sqrt{6}$