Question

add. write your answer in simplest form.
$4\sqrt{6} + 9\sqrt{6}$

Explanation:

Step1: Identify like radicals

Both terms have the radical $\sqrt{6}$, so they are like radicals.

Step2: Combine coefficients

For like radicals $a\sqrt{b}+c\sqrt{b}=(a + c)\sqrt{b}$, here $a = 4$, $c = 9$, so $4\sqrt{6}+9\sqrt{6}=(4 + 9)\sqrt{6}$.

Step3: Calculate the sum of coefficients

$4+9 = 13$, so the result is $13\sqrt{6}$.

Answer:

$13\sqrt{6}$