[tex] \huge\sqrt{x} \div \sqrt{y} = \sqrt{x \div y} \\ [/tex]
a)
[tex] \sqrt{50} \div \sqrt{5} = \\ = \sqrt{50 \div 5} = \sqrt{10} [/tex]
b)
[tex] \sqrt{15} \div ( - \sqrt{3} ) = \\ = - \sqrt{15 \div 3} = - \sqrt{5} [/tex]
c)
[tex] - \sqrt{35} \div ( - \sqrt{7} ) = \\ = \sqrt{35 \div 7} = \sqrt{5} [/tex]
d)
[tex]4 \sqrt{21} \div 7 = \\ = 4 \sqrt{21 \div 7} = 4 \sqrt{3} [/tex]
e)
[tex] - 9 \sqrt{14} \div \sqrt{2} = \\ = - 9 \sqrt{14 \div 2} = - 9 \sqrt{7} [/tex]
f)
[tex]16 \sqrt{42} \div ( - 8 \sqrt{7}) = \\ = 16 \div ( - 8)\sqrt{42 \div 7} = \\ = - 2 \sqrt{6} [/tex]