Which is the simplest radical form of \(\sqrt{180}\) for locating it on the number line?

Correct answer: \(6\sqrt{5}\)

Since \(180=36\times5\) and \(36\) is the largest perfect-square factor, \(\sqrt{180}=\sqrt{36\times5}=6\sqrt{5}\). Option A, \(3\sqrt{20}\), is equivalent but not fully simplified because \(20\) still contains the square factor \(4\). For such questions, take the largest perfect-square factor outside the radical.