[tex]\it 3\sqrt2 = \sqrt{3^2\cdot2}=\sqrt{9\cdot2}=\sqrt{18}\\ \\ 5\sqrt2 = \sqrt{5^2\cdot2}=\sqrt{25\cdot2}=\sqrt{50}\\ \\ 2\sqrt{13} = \sqrt{2^2\cdot13}=\sqrt{4\cdot13}=\sqrt{52}\\ \\ 7\sqrt3 = \sqrt{7^2\cdot3}=\sqrt{49\cdot3}=\sqrt{147}\\ \\[/tex]