Question

subtract. write your answer in simplest form.\\(\sqrt{5} - 3\sqrt{5}\\)

Explanation:

Step1: Factor out \(\sqrt{5}\)

We can factor out \(\sqrt{5}\) from both terms. So, \(\sqrt{5}-3\sqrt{5}=\sqrt{5}(1 - 3)\)

Step2: Simplify the expression inside the parentheses

Calculate \(1-3=-2\). Then we have \(\sqrt{5}\times(-2)=-2\sqrt{5}\)

Answer:

\(-2\sqrt{5}\)