\(\sqrt{1} = 1\)

\(\sqrt{16} = 4\)

\(\sqrt{100} = 10\)

\(\sqrt{64} - \sqrt{49} = 8 - 7 = 1\)

\(9 \sqrt{64} + 6 \sqrt{9} = 9 ⋅ 8 + 6 ⋅ 3 = 90\)

\(\sqrt{64} ⋅ \sqrt{81} = 8 ⋅ 9 = 72\)

\(\sqrt{5^{2} + 75} = \sqrt{25 + 75} = \sqrt{100} = 10\)

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

\(\sqrt{-25}\) kan niet.

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

\(\sqrt{(-11)^{2}} = \sqrt{121} = 11\)

\(3 ⋅ \sqrt{49} = 3 ⋅ 7 = 21\)

\({3 \sqrt{3} \over 8} = \frac{3}{8} \sqrt{3} \text{.}\)

\(2 \sqrt{11} + \sqrt{11} = 3 \sqrt{11}\)

\(6 \sqrt{6} - 9 \sqrt{7}\) kan niet korter.

\(2 \sqrt{10} ⋅ 4 \sqrt{10} = 8 ⋅ \sqrt{100} = 8 ⋅ 10 = 80\)

\(2 \sqrt{17} ⋅ 4 \sqrt{2} = 8 \sqrt{34}\)

\({\sqrt{30} \over \sqrt{6}} = \sqrt{5}\)

\({8 \sqrt{40} \over \sqrt{8}} = 8 ⋅ {\sqrt{40} \over \sqrt{8}} = 8 \sqrt{5}\)

\({15 \sqrt{40} \over 5 \sqrt{10}} = {15 \over 5} ⋅ {\sqrt{40} \over \sqrt{10}} = 3 ⋅ \sqrt{4} = 3 ⋅ 2 = 6\)

\((-3 \sqrt{7})^{2} = (-3)^{2} ⋅ \sqrt{7}^{2} = 9 ⋅ 7 = 63 \text{.}\)

\((\sqrt{5})^{2} = 5 \text{.}\)

\(-7 (\sqrt{10})^{2} = -7 ⋅ 10 = -70 \text{.}\)

\((4 \sqrt{8})^{2} - 3 (\sqrt{7})^{2} = 4^{2} ⋅ (\sqrt{8})^{2} - 3 ⋅ (\sqrt{7})^{2} = 16 ⋅ 8 - 3 ⋅ 7 = 107 \text{.}\)