\(\sqrt{1} = 1\)

\(\sqrt{9} = 3\)

\(\sqrt{64} = 8\)

\(\sqrt{25} - \sqrt{9} = 5 - 3 = 2\)

\(10 \sqrt{4} + 9 \sqrt{25} = 10 ⋅ 2 + 9 ⋅ 5 = 65\)

\(\sqrt{36} ⋅ \sqrt{81} = 6 ⋅ 9 = 54\)

\(\sqrt{6^{2} + 108} = \sqrt{36 + 108} = \sqrt{144} = 12\)

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

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

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

\(\sqrt{(-4)^{2}} = \sqrt{16} = 4\)

\(4 ⋅ \sqrt{81} = 4 ⋅ 9 = 36\)

\({4 \sqrt{7} \over 9} = \frac{4}{9} \sqrt{7} \text{.}\)

\(3 \sqrt{13} - \sqrt{13} = 2 \sqrt{13}\)

\(3 \sqrt{5} + 10 \sqrt{11}\) kan niet korter.

\(2 \sqrt{2} ⋅ 4 \sqrt{8} = 8 ⋅ \sqrt{16} = 8 ⋅ 4 = 32\)

\(6 \sqrt{3} ⋅ 3 \sqrt{5} = 18 \sqrt{15}\)

\({\sqrt{16} \over \sqrt{8}} = \sqrt{2}\)

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

\({10 \sqrt{45} \over 5 \sqrt{5}} = {10 \over 5} ⋅ {\sqrt{45} \over \sqrt{5}} = 2 ⋅ \sqrt{9} = 2 ⋅ 3 = 6\)

\((9 \sqrt{8})^{2} = 9^{2} ⋅ \sqrt{8}^{2} = 81 ⋅ 8 = 648 \text{.}\)

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

\(4 (\sqrt{5})^{2} = 4 ⋅ 5 = 20 \text{.}\)

\((-2 \sqrt{7})^{2} - 4 (\sqrt{6})^{2} = (-2)^{2} ⋅ (\sqrt{7})^{2} - 4 ⋅ (\sqrt{6})^{2} = 4 ⋅ 7 - 4 ⋅ 6 = 4 \text{.}\)

\((9 \sqrt{8} - 2) (9 \sqrt{8} + 2) = (9 \sqrt{8})^{2} - 2^{2} = 81 ⋅ 8 - 4 = 648 - 4 = 644 \text{.}\)