Indices, SM-Bank 070 Show that \(\sqrt{225}=\sqrt{25}\times \sqrt{9}\). (2 marks) --- 5 WORK AREA LINES (style=lined) --- Show Answers Only \(\text{See worked solution}\) Show Worked Solution \(\text{LHS}:\sqrt{225}\) \(=\sqrt{ 5\times 45}\) \(=\sqrt{ 5\times 5\times 9}\) \(=\sqrt{ 5\times 5\times 3\times 3}\) \(=\sqrt{ 15\times 15}\) \(=15\) \(\text{RHS}:\sqrt{25}\times \sqrt{9}\) \(=5\times 3\) \(=15\) \(\therefore\ \text{LHS}\ =\ \text{RHS}\) \(\therefore\ \sqrt{225}=\sqrt{25}\times \sqrt{9}\)