[tex]\it a)\dfrac{\sqrt5}{\sqrt{45}}=\dfrac{\sqrt5}{\sqrt{9\cdot5}}=\dfrac{\sqrt5}{3\sqrt5}=\dfrac{1}{3}\\ \\ \\ b)\dfrac{\ \ \sqrt7^{(\sqrt7}}{\sqrt{28}}=\dfrac{1}{\sqrt4}=\dfrac{1}{2}\\ \\ \\c)\ \dfrac{\sqrt3^{(\sqrt3}}{\sqrt{12}}=\dfrac{1}{\sqrt4}=\dfrac{1}{2}[/tex]
[tex]\it f)\ \sqrt{5^3\cdot7^3}=\sqrt{(5\cdot7)^3}=\sqrt{35^3}=\sqrt{35^2\cdot35}=35\sqrt{35}\\ \\ g)\ \sqrt{2^7\cdot3^3\cdot11^5}=\sqrt{2\cdot2^6\cdot3\cdot3^2\cdot11\cdot11^4}=2^3\cdot3\cdot11^2\cdot\sqrt{2\cdot3\cdot11}=\\ \\ =8\cdot3\cdot121\sqrt{66}[/tex]
