Question

1. simplify the expression: $9\sqrt{6} - 2\sqrt{6}$

a. 7
b. 36
c. $7\sqrt{6}$
d. $7\sqrt{12}$

Explanation:

Step1: Identify like terms

Both terms have $\sqrt{6}$, so we can factor it out. The expression is $9\sqrt{6} - 2\sqrt{6}$.

Step2: Combine coefficients

Subtract the coefficients: $9 - 2 = 7$. So, $9\sqrt{6} - 2\sqrt{6} = (9 - 2)\sqrt{6} = 7\sqrt{6}$.

Answer:

C. $7\sqrt{6}$