Question

simplify.
$4\sqrt{13} + 3\sqrt{13}$

Explanation:

Step1: Identify like radical terms

Both terms have $\sqrt{13}$, so they are like radicals.

Step2: Add the coefficients

Add the coefficients 4 and 3, keep $\sqrt{13}$.
$4\sqrt{13} + 3\sqrt{13} = (4+3)\sqrt{13}$

Step3: Calculate the sum of coefficients

Compute $4+3=7$.
$(4+3)\sqrt{13} = 7\sqrt{13}$

Answer:

$7\sqrt{13}$