Explicación paso a paso:
[tex] \sqrt{20} \times \sqrt{5} = \sqrt{20 \times 5} = \sqrt{100} = 10[/tex]
[tex] \sqrt[3]{ \frac{729}{ {r}^{6} {s}^{9} } } = \frac{ \sqrt[3]{729} }{ \sqrt[3]{ {r}^{6} {s}^{9} } } \\ = \frac{9}{ {r}^{2} {s}^{3} } \\ [/tex]
[tex] \sqrt{ \sqrt[3]{ {x}^{6} {y}^{12} } } \\ = \sqrt[6]{ {x}^{6} {y}^{12} } \\ = x {y}^{2} [/tex]
[tex] \sqrt{ \sqrt{81 {n}^{16} } } \\ \sqrt[4]{81 {n}^{16} } = 3 {n}^{4} [/tex]
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Explicación paso a paso:
[tex] \sqrt{20} \times \sqrt{5} = \sqrt{20 \times 5} = \sqrt{100} = 10[/tex]
[tex] \sqrt[3]{ \frac{729}{ {r}^{6} {s}^{9} } } = \frac{ \sqrt[3]{729} }{ \sqrt[3]{ {r}^{6} {s}^{9} } } \\ = \frac{9}{ {r}^{2} {s}^{3} } \\ [/tex]
[tex] \sqrt{ \sqrt[3]{ {x}^{6} {y}^{12} } } \\ = \sqrt[6]{ {x}^{6} {y}^{12} } \\ = x {y}^{2} [/tex]
[tex] \sqrt{ \sqrt{81 {n}^{16} } } \\ \sqrt[4]{81 {n}^{16} } = 3 {n}^{4} [/tex]