\[\frac{\sqrt{54}}{\sqrt{6}} = \sqrt{\frac{54}{6}} = \sqrt{9} = 3\]
\[\sqrt{2} \cdot \sqrt{18} = \sqrt{2 \cdot 18} = \sqrt{36} = 6\]
\[\frac{\sqrt{72}}{\sqrt{2}} = \sqrt{\frac{72}{2}} = \sqrt{36} = 6\]
\[\sqrt{7} \cdot \sqrt{7} = \sqrt{7 \cdot 7} = \sqrt{49} = 7\]
\[\sqrt{2^{10}} = 2^{10/2} = 2^5 = 32\]
\[\sqrt{(-11)^2} = |-11| = 11\]
\[(\sqrt{13})^2 = 13\]
\[\sqrt{25 \cdot 81} = \sqrt{25} \cdot \sqrt{81} = 5 \cdot 9 = 45\]
\[\sqrt{\frac{100}{16}} = \frac{\sqrt{100}}{\sqrt{16}} = \frac{10}{4} = 2.5\]
При \(x = 2\), \[\sqrt{x^8} = \sqrt{2^8} = 2^{8/2} = 2^4 = 16\]
Ответ: 1) 3, 2) 6, 3) 6, 4) 7, 5) 32, 6) 11, 7) 13, 8) 45, 9) 2.5, 10) 16