Question

add or subtract. simplify by collecting like radical terms, if possible.
$5\sqrt{3} - 2\sqrt{3} + 4\sqrt{3}$

$5\sqrt{3} - 2\sqrt{3} + 4\sqrt{3} = \square$
(simplify your answer. type an exact answer, using radicals as needed.)

Explanation:

Step1: Identify like radical terms

All terms have $\sqrt{3}$, so we can factor out $\sqrt{3}$.
Expression becomes $(5 - 2 + 4)\sqrt{3}$

Step2: Simplify the coefficient

Calculate $5 - 2 + 4$.
$5 - 2 = 3$, then $3 + 4 = 7$.
So the simplified form is $7\sqrt{3}$.

Answer:

$7\sqrt{3}$