\(\sqrt{1} = 1\)

\(\sqrt{49} = 7\)

\(\sqrt{121} = 11\)

\(\sqrt{49} - \sqrt{25} = 7 - 5 = 2\)

\(8 \sqrt{25} + 2 \sqrt{9} = 8 ⋅ 5 + 2 ⋅ 3 = 46\)

\(\sqrt{9} ⋅ \sqrt{16} = 3 ⋅ 4 = 12\)

\(\sqrt{5^{2} + 96} = \sqrt{25 + 96} = \sqrt{121} = 11\)

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

\(\sqrt{-49}\) kan niet.

\(\sqrt{8^{2}} = 8\)

\(\sqrt{(-10)^{2}} = \sqrt{100} = 10\)

\(3 ⋅ \sqrt{4} = 3 ⋅ 2 = 6\)

\({2 \sqrt{2} \over 3} = \frac{2}{3} \sqrt{2} \text{.}\)

\(2 \sqrt{14} + 4 \sqrt{14} = 6 \sqrt{14}\)

\(10 \sqrt{6} + 6 \sqrt{5}\) kan niet korter.

\(4 \sqrt{2} ⋅ 3 \sqrt{18} = 12 ⋅ \sqrt{36} = 12 ⋅ 6 = 72\)

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

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

\({8 \sqrt{18} \over 4 \sqrt{6}} = {8 \over 4} ⋅ {\sqrt{18} \over \sqrt{6}} = 2 \sqrt{3}\)

\({20 \sqrt{90} \over 5 \sqrt{10}} = {20 \over 5} ⋅ {\sqrt{90} \over \sqrt{10}} = 4 ⋅ \sqrt{9} = 4 ⋅ 3 = 12\)

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

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

\(-3 (\sqrt{6})^{2} = -3 ⋅ 6 = -18 \text{.}\)

\((-3 \sqrt{5})^{2} - 9 (\sqrt{8})^{2} = (-3)^{2} ⋅ (\sqrt{5})^{2} - 9 ⋅ (\sqrt{8})^{2} = 9 ⋅ 5 - 9 ⋅ 8 = -27 \text{.}\)

\((7 \sqrt{8} + 9) (7 \sqrt{8} - 9) = (7 \sqrt{8})^{2} - 9^{2} = 49 ⋅ 8 - 81 = 392 - 81 = 311 \text{.}\)