a) [tex]\frac{\sqrt{35} }{\sqrt{5} } = \sqrt{\frac{35}{5}}=\sqrt {7}[/tex]
b)[tex]\frac{\sqrt{21} }{\sqrt{3} } = \sqrt{\frac{21}{3} }=\sqrt {7}[/tex]
c) [tex]\frac{\sqrt{38} }{\sqrt{2}} = \sqrt{\frac{38}{2} }=\sqrt {19}[/tex]
d)[tex]\frac{\sqrt{15} }{\sqrt{7} } = \sqrt{\frac{15}{7} }[/tex]
e)[tex]\frac{\sqrt{8} }{\sqrt{2} } = \sqrt{\frac{8}{2} }=\sqrt {4}=2[/tex]
f)[tex]\frac{\sqrt{63} }{-\sqrt{7} } = -\sqrt{\frac{63}{7} }=-\sqrt {9}[/tex]
g)[tex]{\sqrt{28} }:{\sqrt{14} } = \sqrt{28:14} }=\sqrt {2}[/tex]
h)[tex]{\sqrt{5} }*{\sqrt{10} }:\sqrt{2}= \sqrt{5*10:2} }=\sqrt {50:2}=\sqrt{25}=5[/tex]
i)[tex]\frac{-\sqrt{125} }{\sqrt{5} } = -\sqrt{\frac{125}{5} }=-\sqrt {25}=-5[/tex]
j)[tex]{\sqrt{28} }:(-{\sqrt{14} }) =- \sqrt{28:14} }=-\sqrt {2}[/tex]
k)[tex]\sqrt{\frac{10}{7}}:\sqrt{\frac{5}{7}}=\sqrt{\frac{10}{7}}*\sqrt{\frac{7}{5}}=\sqrt{\frac{10}{5}}=\sqrt{2}[/tex]