Indices, SM-Bank 072 Show that \(\sqrt{9\times 4}=\sqrt{9}\times \sqrt{4}\). (2 marks) --- 5 WORK AREA LINES (style=lined) --- Show Answers Only \(\text{See worked solution}\) Show Worked Solution \(\text{LHS}:\sqrt{9\times 4}\) \(=\sqrt{ 3\times 3\times 2\times 2}\) \(=\sqrt{ 6\times 6}\) \(=6\) \(\text{RHS}:\sqrt{9}\times \sqrt{4}\) \(=3\times 2\) \(=6\) \(\therefore\ \text{LHS}\ =\ \text{RHS}\) \(\therefore\ \sqrt{9\times 4}=\sqrt{9}\times \sqrt{4}\)