\(\sqrt{0} = 0\)

\(\sqrt{49} = 7\)

\(\sqrt{144} = 12\)

\(\sqrt{4} - \sqrt{36} = 2 - 6 = -4\)

\(10 \sqrt{49} - 12 \sqrt{64} = 10 ⋅ 7 - 12 ⋅ 8 = -26\)

\(\sqrt{64} ⋅ \sqrt{4} = 8 ⋅ 2 = 16\)

\((-8 \sqrt{6})^{2} = (-8)^{2} ⋅ \sqrt{6}^{2} = 64 ⋅ 6 = 384 \text{.}\)

\((5 \sqrt{4} + 7) (5 \sqrt{4} - 7) = (5 \sqrt{4})^{2} - 7^{2} = 25 ⋅ 4 - 49 = 100 - 49 = 51 \text{.}\)

\((\sqrt{6})^{2} = 6 \text{.}\)

\(3 (\sqrt{7})^{2} = 3 ⋅ 7 = 21 \text{.}\)

\(3 \sqrt{10} - 9 \sqrt{10} = -6 \sqrt{10}\)

\(4 \sqrt{11} ⋅ 5 \sqrt{3} = 20 \sqrt{33}\)

\({\sqrt{60} \over \sqrt{6}} = \sqrt{10}\)

\({24 \sqrt{9} \over 8 \sqrt{3}} = {24 \over 8} ⋅ {\sqrt{9} \over \sqrt{3}} = 3 \sqrt{3}\)

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