Question

question
express in simplest radical form.
$-5\sqrt{5} - 4\sqrt{5}$

Explanation:

Step1: Identify like radicals

Both terms have \(\sqrt{5}\), so they are like radicals.

Step2: Combine coefficients

For \(-5\sqrt{5}-4\sqrt{5}\), we combine the coefficients \(-5\) and \(-4\). So, \((-5 - 4)\sqrt{5}\).

Step3: Calculate the coefficient

\(-5-4=-9\), so the expression becomes \(-9\sqrt{5}\).

Answer:

\(-9\sqrt{5}\)