Question

add. write your answer in simplest form.
$-4sqrt{5} + 10sqrt{5}$

Explanation:

Step1: Identify like terms

Both terms have the radical $\sqrt{5}$, so they are like terms.

Step2: Combine the coefficients

For like terms $a\sqrt{b} + c\sqrt{b}=(a + c)\sqrt{b}$. Here, $a=-4$, $c = 10$, and $b = 5$. So, $(-4+10)\sqrt{5}$.

Step3: Calculate the sum of coefficients

$-4 + 10=6$. So the result is $6\sqrt{5}$.

Answer:

$6\sqrt{5}$