\(\sqrt{1} = 1\)

\(\sqrt{25} = 5\)

\(\sqrt{100} = 10\)

\(\sqrt{36} + \sqrt{16} = 6 + 4 = 10\)

\(6 \sqrt{121} + 7 \sqrt{144} = 6 ⋅ 11 + 7 ⋅ 12 = 150\)

\(\sqrt{4} ⋅ \sqrt{9} = 2 ⋅ 3 = 6\)

\(\sqrt{8^{2} + 36} = \sqrt{64 + 36} = \sqrt{100} = 10\)

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

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

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

\(\sqrt{(-9)^{2}} = \sqrt{81} = 9\)

\(9 ⋅ \sqrt{9} = 9 ⋅ 3 = 27\)

\({3 \sqrt{7} \over 4} = \frac{3}{4} \sqrt{7} \text{.}\)

\(4 \sqrt{3} - 10 \sqrt{3} = -6 \sqrt{3}\)

\(8 \sqrt{6} + 6 \sqrt{7}\) kan niet korter.

\(5 \sqrt{10} ⋅ 2 \sqrt{10} = 10 ⋅ \sqrt{100} = 10 ⋅ 10 = 100\)

\(6 \sqrt{7} ⋅ 2 \sqrt{3} = 12 \sqrt{21}\)

\({\sqrt{18} \over \sqrt{6}} = \sqrt{3}\)

\({56 \sqrt{100} \over 7 \sqrt{10}} = {56 \over 7} ⋅ {\sqrt{100} \over \sqrt{10}} = 8 \sqrt{10}\)

\({42 \sqrt{54} \over 7 \sqrt{6}} = {42 \over 7} ⋅ {\sqrt{54} \over \sqrt{6}} = 6 ⋅ \sqrt{9} = 6 ⋅ 3 = 18\)

\((-7 \sqrt{3})^{2} = (-7)^{2} ⋅ \sqrt{3}^{2} = 49 ⋅ 3 = 147 \text{.}\)

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

\(9 (\sqrt{5})^{2} = 9 ⋅ 5 = 45 \text{.}\)

\((-5 \sqrt{6})^{2} - 9 (\sqrt{3})^{2} = (-5)^{2} ⋅ (\sqrt{6})^{2} - 9 ⋅ (\sqrt{3})^{2} = 25 ⋅ 6 - 9 ⋅ 3 = 123 \text{.}\)