Question

Can you help me simplify a radical below?

Answer 1

\[\sqrt 80 - 3 \sqrt 63 - \sqrt 125 - \sqrt 175\]

Answer 2

Let's go through these one at a time. First, let's simplify \(\sqrt{80}\). If we factor 80, we get \(80=2\cdot2\cdot2\cdot2\cdot5\). Since there are four 2's, we can say that \[\sqrt{80}=\sqrt{2^4\cdot5}=2^2\sqrt{5}=4\sqrt{5}\]Did this all make sense?