\(\sqrt{1} = 1\)

\(\sqrt{16} = 4\)

\(\sqrt{121} = 11\)

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

\(6 \sqrt{64} - 11 \sqrt{100} = 6 ⋅ 8 - 11 ⋅ 10 = -62\)

\(\sqrt{49} ⋅ \sqrt{36} = 7 ⋅ 6 = 42\)

\(\sqrt{11^{2} + 23} = \sqrt{121 + 23} = \sqrt{144} = 12\)

\(-\sqrt{64} = -8\)

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

\(\sqrt{6^{2}} = 6\)

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

\(8 ⋅ \sqrt{4} = 8 ⋅ 2 = 16\)

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

\(5 \sqrt{13} + 6 \sqrt{13} = 11 \sqrt{13}\)

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

\(2 \sqrt{3} ⋅ 4 \sqrt{3} = 8 ⋅ \sqrt{9} = 8 ⋅ 3 = 24\)

\(6 \sqrt{17} ⋅ 2 \sqrt{3} = 12 \sqrt{51}\)

\({\sqrt{20} \over \sqrt{2}} = \sqrt{10}\)

\({54 \sqrt{20} \over 6 \sqrt{10}} = {54 \over 6} ⋅ {\sqrt{20} \over \sqrt{10}} = 9 \sqrt{2}\)

\({14 \sqrt{28} \over 2 \sqrt{7}} = {14 \over 2} ⋅ {\sqrt{28} \over \sqrt{7}} = 7 ⋅ \sqrt{4} = 7 ⋅ 2 = 14\)

\((-5 \sqrt{3})^{2} = (-5)^{2} ⋅ \sqrt{3}^{2} = 25 ⋅ 3 = 75 \text{.}\)

\((\sqrt{6})^{2} = 6 \text{.}\)

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

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

\((3 \sqrt{9} + 5) (3 \sqrt{9} - 5) = (3 \sqrt{9})^{2} - 5^{2} = 9 ⋅ 9 - 25 = 81 - 25 = 56 \text{.}\)