Answer: [tex]\bold{-\sqrt{5}-7\sqrt{3}}}[/tex]
Step-by-step explanation:
[tex]\left(3\sqrt{5}-4\sqrt{3}\right)-\left(3\sqrt{3}+4\sqrt{5}\right)[/tex]
[tex]=3\sqrt{5}-4\sqrt{3}-3\sqrt{3}-4\sqrt{5}[/tex]
[tex]\mathrm{Add\:similar\:terms:}\:3\sqrt{5}-4\sqrt{5}=-\sqrt{5}[/tex]
[tex]=-\sqrt{5}-4\sqrt{3}-3\sqrt{3}[/tex]
[tex]\mathrm{Add\:similar\:terms:}\:-4\sqrt{3}-3\sqrt{3}=-7\sqrt{3}[/tex]
[tex]{=-\sqrt{5}-7\sqrt{3}}[/tex]
