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\sqrt{\frac{3}{5}}*\sqrt{15}=\sqrt{\frac{3}{5}*15}=\sqrt9=3
2)
\sqrt{5\frac{1}{4}}*\sqrt{\frac{7}{3}}=\sqrt{\frac{21*7}{4*3}}=\sqrt{\frac{49}{4}}=\frac{7}{2}=3,5
3)
\sqrt[3]{25}*\sqrt[3]{40}=\sqrt[3]{1000}=\sqrt[3]{10^3}=10
4)
\sqrt[3]{75}*\sqrt[3]{1\frac{2}{3}}=\sqrt[3]{75*\frac{5}{3}}=\sqrt[3]{125}=5
5)
\frac{\sqrt{60}}{\sqrt{15}}=\sqrt{\frac{60}{15}}=\sqrt4=2
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\frac{\sqrt{75}}{\sqrt{12}}=\sqrt{\frac{25}{4}}=\frac{5}{2}=2,5
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\sqrt{1\frac{9}{16}}:\sqrt{\frac{225}{256}}=\sqrt{\frac{27}{16}}:\sqrt{(\frac{15}{16})^2}=
\frac{3\sqrt3}{4}:\frac{15}{16}=\frac{3\sqrt3}{4}*\frac{16}{15}=\frac{4\sqrt3}{5}
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\sqrt{1\frac{1}{2}}:\sqrt{1\frac{5}{27}}=\sqrt{\frac{3}{2}:\frac{32}{27}}=\sqrt{\frac{3}{2}*\frac{27}{32}}=\sqrt{\frac{16}{9}}=\frac{4}{3}=1\frac{1}{3}