[tex]\bf a) ~4\sqrt{3} +\sqrt{3} =\blue{\underline{5\sqrt{3} }}[/tex]
[tex]\bf b) ~5\sqrt{8} -\sqrt{2} =5\sqrt{2^{3}} -\sqrt{2}=10\sqrt{2}-\sqrt{2} =\green{\underline{9\sqrt{2} }}[/tex]
[tex]\bf c) ~2\sqrt{3} \cdot \sqrt{3} =2\cdot\big(\sqrt{3}\big)^2=2\cdot3 =\orange{\underline{6 }}[/tex]
[tex]\bf d) ~2\sqrt{8} :2\sqrt{2} +3=2\sqrt{2^{3}} :2\sqrt{2}+3=4\sqrt{2}:2\sqrt{2}+3=2+3 =\purple{\underline{5}}[/tex]
[tex]\bf e) ~\big(\sqrt{2} \big)^2=\sqrt{2} \cdot\sqrt{2}=\red{\underline{2 }}[/tex]
