\(\sqrt{700} = \sqrt{100} ⋅ \sqrt{7} = 10 \sqrt{7} \text{.}\)

\(2 \sqrt{32} = 2 ⋅ \sqrt{16} ⋅ \sqrt{2} = 2 ⋅ 4 ⋅ \sqrt{2} = 8 \sqrt{2} \text{.}\)

\(\sqrt{2\frac{2}{49}} = \sqrt{\frac{100}{49}} = {\sqrt{100} \over \sqrt{49}} = \frac{10}{7} = 1\frac{3}{7} \text{.}\)

\({16 \sqrt{72} \over 8 \sqrt{6}} = {16 \over 8} ⋅ {\sqrt{72} \over \sqrt{6}} = 2 \sqrt{12} = 2 ⋅ \sqrt{4} ⋅ \sqrt{3} = 2 ⋅ 2 ⋅ \sqrt{3} = 4 \sqrt{3}\)

\(\sqrt{\frac{44}{49}} = {\sqrt{44} \over \sqrt{49}} = {\sqrt{44} \over 7} = \frac{1}{7} \sqrt{44} = \frac{1}{7} ⋅ 2 ⋅ \sqrt{11} = \frac{2}{7} \sqrt{11} \text{.}\)