Question

add. write your answer in simplest form.
-7√5 + 2√5

Explanation:

Step1: Identify like radicals

Both terms have \(\sqrt{5}\), so we can combine the coefficients.
The expression is \(-7\sqrt{5}+2\sqrt{5}\).

Step2: Combine the coefficients

Add the coefficients of \(\sqrt{5}\): \(-7 + 2=-5\).
So, \(-7\sqrt{5}+2\sqrt{5}=(-7 + 2)\sqrt{5}=-5\sqrt{5}\).

Answer:

\(-5\sqrt{5}\)