\(\sqrt{1} = 1\)

\(\sqrt{16} = 4\)

\(\sqrt{81} = 9\)

\(\sqrt{64} + \sqrt{16} = 8 + 4 = 12\)

\(4 \sqrt{4} + 6 \sqrt{81} = 4 ⋅ 2 + 6 ⋅ 9 = 62\)

\(\sqrt{64} ⋅ \sqrt{4} = 8 ⋅ 2 = 16\)

\(\sqrt{6^{2} + 85} = \sqrt{36 + 85} = \sqrt{121} = 11\)

\(-\sqrt{25} = -5\)

\(\sqrt{-36}\) kan niet.

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

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

\(9 ⋅ \sqrt{9} = 9 ⋅ 3 = 27\)

\({9 \sqrt{2} \over 8} = 1\frac{1}{8} \sqrt{2} \text{.}\)

\(\sqrt{14} + 5 \sqrt{14} = 6 \sqrt{14}\)

\(8 \sqrt{3} - 2 \sqrt{11}\) kan niet korter.

\(5 \sqrt{8} ⋅ 4 \sqrt{8} = 20 ⋅ \sqrt{64} = 20 ⋅ 8 = 160\)

\(3 \sqrt{3} ⋅ 4 \sqrt{17} = 12 \sqrt{51}\)

\({\sqrt{21} \over \sqrt{3}} = \sqrt{7}\)

\({48 \sqrt{42} \over 8 \sqrt{6}} = {48 \over 8} ⋅ {\sqrt{42} \over \sqrt{6}} = 6 \sqrt{7}\)

\({18 \sqrt{45} \over 6 \sqrt{5}} = {18 \over 6} ⋅ {\sqrt{45} \over \sqrt{5}} = 3 ⋅ \sqrt{9} = 3 ⋅ 3 = 9\)

\((3 \sqrt{6})^{2} = 3^{2} ⋅ \sqrt{6}^{2} = 9 ⋅ 6 = 54 \text{.}\)

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

\(-2 (\sqrt{7})^{2} = -2 ⋅ 7 = -14 \text{.}\)

\((5 \sqrt{8})^{2} - 6 (\sqrt{3})^{2} = 5^{2} ⋅ (\sqrt{8})^{2} - 6 ⋅ (\sqrt{3})^{2} = 25 ⋅ 8 - 6 ⋅ 3 = 182 \text{.}\)