[tex]\text{a) }3=\sqrt{9}\implies3\sqrt{6}=\sqrt{9}\cdot\sqrt{6}=\sqrt{54}\\\text{b) }2=\sqrt{4}\implies2\sqrt{5}=\sqrt{4}\cdot\sqrt{5}=\sqrt{20}\\\text{c) }5=\sqrt{25}\implies5\sqrt{2}=\sqrt{25}\cdot\sqrt{2}=\sqrt{50}\\\text{d) }2=\sqrt{4}\implies2\sqrt{2}=\sqrt{4}\cdot\sqrt{2}=\sqrt{8}\\\text{e) }3=\sqrt{9}\implies3\sqrt{2}=\sqrt{9}\cdot\sqrt{2}=\sqrt{18}\\\text{f) }7=\sqrt{49}\implies7\sqrt{3}=\sqrt{49}\cdot\sqrt{3}=\sqrt{147}\\[/tex]
