Question

subtract. write your answer in simplest form.
$2\sqrt{2} - 9\sqrt{2}$

Explanation:

Step1: Factor out \(\sqrt{2}\)

We can factor out the common term \(\sqrt{2}\) from both terms. So, \(2\sqrt{2}-9\sqrt{2}=(2 - 9)\sqrt{2}\)

Step2: Calculate \(2-9\)

\(2-9=-7\), so substituting back we get \(-7\sqrt{2}\)

Answer:

\(-7\sqrt{2}\)