[tex]\displaystyle\\
a)~~~ \sqrt{24} =\sqrt{4\times 6} = \boxed{2\sqrt{6}}\\\\
b)~~~\sqrt{63} =\sqrt{9\times 7} = \boxed{3\sqrt{7}}\\\\
c)~~~\sqrt{98} =\sqrt{49\times 2} = \boxed{7\sqrt{2}}\\\\
d)~~~\sqrt{96} =\sqrt{16\times 6} = \boxed{4\sqrt{6}}\\\\
e)~~~\sqrt{200} =\sqrt{100\times 2} = \boxed{10\sqrt{2}}\\\\
f)~~~\sqrt{108} =\sqrt{36\times 3} = \boxed{6\sqrt{3}}
[/tex]