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QUESTION IMAGE

add. write your answer in simplest form. $2\\sqrt{3} + 3\\sqrt{3}$

Question

add. write your answer in simplest form.
$2\sqrt{3} + 3\sqrt{3}$

Explanation:

Step1: Identify like radicals

Both terms have $\sqrt{3}$ as the radical part, so they are like radicals.

Step2: Combine coefficients

For like radicals $a\sqrt{b}+c\sqrt{b}=(a + c)\sqrt{b}$. Here, $a = 2$, $c = 3$, and $b = 3$. So, $(2 + 3)\sqrt{3}$.

Step3: Simplify the coefficient

$2+3 = 5$, so the result is $5\sqrt{3}$.

Answer:

$5\sqrt{3}$