Indices, SM-Bank 071 Show that \(\sqrt{25\times 16}=\sqrt{25}\times \sqrt{16}\). (2 marks) --- 5 WORK AREA LINES (style=lined) --- Show Answers Only \(\text{See worked solution}\) Show Worked Solution \(\text{LHS}:\sqrt{25\times 16}\) \(=\sqrt{ 5\times 5\times 4\times 4}\) \(=\sqrt{ 20\times 20}\) \(=20\) \(\text{RHS}:\sqrt{25}\times \sqrt{16}\) \(=5\times 4\) \(=20\) \(\therefore\ \text{LHS}\ =\ \text{RHS}\) \(\therefore\ \sqrt{25\times 16}=\sqrt{25}\times \sqrt{16}\)