\(\sqrt{0} = 0\)

\(\sqrt{25} = 5\)

\(\sqrt{196} = 14\)

\(\sqrt{4} + \sqrt{9} = 2 + 3 = 5\)

\(4 \sqrt{81} - 11 \sqrt{144} = 4 ⋅ 9 - 11 ⋅ 12 = -96\)

\(\sqrt{4} ⋅ \sqrt{49} = 2 ⋅ 7 = 14\)

\(\sqrt{8^{2} + 17} = \sqrt{64 + 17} = \sqrt{81} = 9\)

\(-\sqrt{81} = -9\)

\(\sqrt{-144}\) kan niet.

\(\sqrt{12^{2}} = 12\)

\(\sqrt{(-7)^{2}} = \sqrt{49} = 7\)

\(8 ⋅ \sqrt{16} = 8 ⋅ 4 = 32\)

\({3 \sqrt{5} \over 5} = \frac{3}{5} \sqrt{5} \text{.}\)

\(10 \sqrt{13} - 8 \sqrt{13} = 2 \sqrt{13}\)

\(9 \sqrt{3} - 7 \sqrt{5}\) kan niet korter.

\(5 \sqrt{2} ⋅ 4 \sqrt{18} = 20 ⋅ \sqrt{36} = 20 ⋅ 6 = 120\)

\(4 \sqrt{7} ⋅ 5 \sqrt{3} = 20 \sqrt{21}\)

\({\sqrt{10} \over \sqrt{5}} = \sqrt{2}\)

\({28 \sqrt{21} \over 7 \sqrt{3}} = {28 \over 7} ⋅ {\sqrt{21} \over \sqrt{3}} = 4 \sqrt{7}\)

\({63 \sqrt{12} \over 7 \sqrt{3}} = {63 \over 7} ⋅ {\sqrt{12} \over \sqrt{3}} = 9 ⋅ \sqrt{4} = 9 ⋅ 2 = 18\)

\((4 \sqrt{6})^{2} = 4^{2} ⋅ \sqrt{6}^{2} = 16 ⋅ 6 = 96 \text{.}\)

\((\sqrt{10})^{2} = 10 \text{.}\)

\(8 (\sqrt{6})^{2} = 8 ⋅ 6 = 48 \text{.}\)

\((-5 \sqrt{8})^{2} - 9 (\sqrt{6})^{2} = (-5)^{2} ⋅ (\sqrt{8})^{2} - 9 ⋅ (\sqrt{6})^{2} = 25 ⋅ 8 - 9 ⋅ 6 = 146 \text{.}\)