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1. $$ \sqrt{64 \cdot 81} = \sqrt{64} \cdot \sqrt{81} = 8 \cdot 9 = 72 $$
2. $$ \sqrt{0.09 \cdot 25} = \sqrt{0.09} \cdot \sqrt{25} = 0.3 \cdot 5 = 1.5 $$
3. $$ \sqrt{0.01 \cdot 0.04 \cdot 121} = \sqrt{0.01} \cdot \sqrt{0.04} \cdot \sqrt{121} = 0.1 \cdot 0.2 \cdot 11 = 0.02 \cdot 11 = 0.22 $$
4. $$ \sqrt{\frac{25}{144}} = \frac{\sqrt{25}}{\sqrt{144}} = \frac{5}{12} $$
5. $$ \sqrt{5\frac{1}{16}} = \sqrt{\frac{5 \cdot 16 + 1}{16}} = \sqrt{\frac{81}{16}} = \frac{\sqrt{81}}{\sqrt{16}} = \frac{9}{4} = 2.25 $$

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1. $$ \sqrt{18 \cdot 32} = \sqrt{9 \cdot 2 \cdot 16 \cdot 2} = \sqrt{9 \cdot 16 \cdot 4} = \sqrt{3^2 \cdot 4^2 \cdot 2^2} = 3 \cdot 4 \cdot 2 = 24 $$
2. $$ \sqrt{1690 \cdot 6.4} = \sqrt{169 \cdot 10 \cdot 6.4} = \sqrt{169 \cdot 64} = \sqrt{13^2 \cdot 8^2} = 13 \cdot 8 = 104 $$
3. $$ \sqrt{\frac{108}{3}} = \sqrt{36} = 6 $$
4. $$ \sqrt{\frac{90}{0.016}} = \sqrt{\frac{90000}{1.6}} = \sqrt{\frac{900000}{16}} = \frac{\sqrt{900000}}{\sqrt{16}} = \frac{300 \sqrt{10}}{4} = 75 \sqrt{10} $$
5. $$ \sqrt{160 \cdot 250} = \sqrt{16 \cdot 10 \cdot 25 \cdot 10} = \sqrt{16 \cdot 25 \cdot 100} = \sqrt{4^2 \cdot 5^2 \cdot 10^2} = 4 \cdot 5 \cdot 10 = 200 $$
6. $$ \sqrt{101^2 - 20^2} = \sqrt{(101 - 20) \cdot (101 + 20)} = \sqrt{81 \cdot 121} = \sqrt{9^2 \cdot 11^2} = 9 \cdot 11 = 99 $$
7. $$ \sqrt{100^2 - 96^2} = \sqrt{(100 - 96) \cdot (100 + 96)} = \sqrt{4 \cdot 196} = \sqrt{2^2 \cdot 14^2} = 2 \cdot 14 = 28 $$