Compare: \(8\sqrt{3}\) with \(5\sqrt{7}\)

We have:

\(8\sqrt{3}=\sqrt{8^2.3}=\sqrt{64.3}=\sqrt{192}\)

\(5\sqrt{7}=\sqrt{5^2.7}=\sqrt{25.7}=\sqrt{175}\)

Because 192>175 so \(\sqrt{192}>\sqrt{175}\)

or \(8\sqrt{3}>5\sqrt{7}\)