$\sqrt{9\ast 100}=\sqrt{9}\ast \sqrt{100}=3\ast 10=30$

$\sqrt{0,49\ast 16}=\sqrt{0,49}\ast \sqrt{16}=0,7\ast 4=2,8$

$\sqrt{676\ast 0,04}=\sqrt{676}\ast \sqrt{0,04}=26\ast 0,2=5,2$

$\sqrt{0,64\ast 0,25\ast 121}=\sqrt{0,64}\ast \sqrt{0,25}\ast \sqrt{121}=0,8\ast 0,5\ast 11=0,4\ast 11=4,4$

$\sqrt{\frac{25}{196}}=\frac{\sqrt{25}}{\sqrt{196}}=\frac{5}{14}$

$\sqrt{18\frac{1}{16}}=\sqrt{\frac{289}{16}}=\frac{\sqrt{289}}{\sqrt{16}}=\frac{17}{4}=4\frac{1}{4}$

$\sqrt{\frac{9}{64}\ast \frac{1024}{1089}}=\frac{\sqrt{9}}{\sqrt{64}}\ast \frac{\sqrt{1024}}{\sqrt{1089}}=\frac{3}{8}\ast \frac{32}{33}=\frac{4}{11}$

$\sqrt{3\frac{13}{36}\ast 4\frac{29}{49}}=\sqrt{\frac{121}{36}\ast \frac{225}{49}}=\frac{\sqrt{121}}{\sqrt{36}}\ast \frac{\sqrt{225}}{\sqrt{49}}=\frac{11}{6}\ast \frac{15}{7}=\frac{11}{2}\ast \frac{5}{7}=\frac{55}{14}=3\frac{13}{14}$