[tex]3 \sqrt{2} = \sqrt{ {3}^{2} \times 2 } = \sqrt{9 \times 2} = \sqrt{18} \\ \\ 6 \sqrt{5} = \sqrt{ {6}^{2} \times 5} = \sqrt{36 \times 5} = \sqrt{180} \\ \\ - 5 \sqrt{6} = - \sqrt{ {5}^{2} \times 6 } = - \sqrt{25 \times 6} = - \sqrt{150} \\ \\ - 4 \sqrt{7} = - \sqrt{ {4}^{2} \times 7} = - \sqrt{16 \times 7} = - \sqrt{112} [/tex]
[tex]7 \sqrt{3} = \sqrt{ {7}^{2} \times 3 } = \sqrt{49 \times 3} = \sqrt{147} [/tex]
