\(\sqrt{1} = 1\)

\(\sqrt{16} = 4\)

\(\sqrt{169} = 13\)

\(\sqrt{16} + \sqrt{9} = 4 + 3 = 7\)

\(2 \sqrt{25} + 11 \sqrt{49} = 2 ⋅ 5 + 11 ⋅ 7 = 87\)

\(\sqrt{9} ⋅ \sqrt{49} = 3 ⋅ 7 = 21\)

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

\((3 \sqrt{6} + 8) (3 \sqrt{6} - 8) = (3 \sqrt{6})^{2} - 8^{2} = 9 ⋅ 6 - 64 = 54 - 64 = -10 \text{.}\)

\((\sqrt{3})^{2} = 3 \text{.}\)

\(-7 (\sqrt{5})^{2} = -7 ⋅ 5 = -35 \text{.}\)

\(4 \sqrt{2} - 8 \sqrt{2} = -4 \sqrt{2}\)

\(5 \sqrt{13} ⋅ 4 \sqrt{2} = 20 \sqrt{26}\)

\({\sqrt{12} \over \sqrt{6}} = \sqrt{2}\)

\({35 \sqrt{21} \over 7 \sqrt{3}} = {35 \over 7} ⋅ {\sqrt{21} \over \sqrt{3}} = 5 \sqrt{7}\)

\({5 \sqrt{28} \over \sqrt{7}} = 5 ⋅ {\sqrt{28} \over \sqrt{7}} = 5 ⋅ \sqrt{4} = 5 ⋅ 2 = 10\)