Question

which expression is equivalent to the given expression? $2\sqrt{5} + 3\sqrt{5} - 3\sqrt{5}$
a. 10
b. $8\sqrt{5}$
c. $2\sqrt{5}$
d. $\sqrt{10}$
reset selection

Explanation:

Step1: Combine like terms (add coefficients)

For the terms with $\sqrt{5}$, we add the coefficients: $2 + 3 - 3$.
$2 + 3 - 3 = 2$

Step2: Multiply the result by $\sqrt{5}$

Multiply the coefficient we found by $\sqrt{5}$: $2\times\sqrt{5} = 2\sqrt{5}$

Answer:

C. $2\sqrt{5}$