Question

simplify the radical expression, if possible.
$4\sqrt{13} - 6\sqrt{13} + 10\sqrt{13}$
$8\sqrt{13}$ $12\sqrt{13}$ cannot be simplifie

Explanation:

Step1: Combine like terms

Since all terms have the same radical part $\sqrt{13}$, we can combine the coefficients. The expression is $4\sqrt{13}- 6\sqrt{13}+10\sqrt{13}$. First, combine $4\sqrt{13}$ and $-6\sqrt{13}$: $4 - 6=-2$, so we get $-2\sqrt{13}+10\sqrt{13}$.

Step2: Combine remaining terms

Now combine $-2\sqrt{13}$ and $10\sqrt{13}$. The coefficients are $-2$ and $10$, so $-2 + 10 = 8$. Thus, the simplified expression is $8\sqrt{13}$.

Answer:

$8\sqrt{13}$