\(\sqrt{1} = 1\)

\(\sqrt{36} = 6\)

\(\sqrt{144} = 12\)

\(\sqrt{64} - \sqrt{4} = 8 - 2 = 6\)

\(4 \sqrt{36} - 12 \sqrt{81} = 4 ⋅ 6 - 12 ⋅ 9 = -84\)

\(\sqrt{4} ⋅ \sqrt{49} = 2 ⋅ 7 = 14\)

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

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

\(\sqrt{-9}\) kan niet.

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

\(\sqrt{(-7)^{2}} = \sqrt{49} = 7\)

\(4 ⋅ \sqrt{64} = 4 ⋅ 8 = 32\)

\({7 \sqrt{2} \over 4} = 1\frac{3}{4} \sqrt{2} \text{.}\)

\(\sqrt{6} - 3 \sqrt{6} = -2 \sqrt{6}\)

\(12 \sqrt{11} - 5 \sqrt{3}\) kan niet korter.

\(2 \sqrt{27} ⋅ 5 \sqrt{3} = 10 ⋅ \sqrt{81} = 10 ⋅ 9 = 90\)

\(5 \sqrt{7} ⋅ 6 \sqrt{2} = 30 \sqrt{14}\)

\({\sqrt{14} \over \sqrt{2}} = \sqrt{7}\)

\({24 \sqrt{18} \over 6 \sqrt{6}} = {24 \over 6} ⋅ {\sqrt{18} \over \sqrt{6}} = 4 \sqrt{3}\)

\({10 \sqrt{63} \over 2 \sqrt{7}} = {10 \over 2} ⋅ {\sqrt{63} \over \sqrt{7}} = 5 ⋅ \sqrt{9} = 5 ⋅ 3 = 15\)

\((-2 \sqrt{3})^{2} = (-2)^{2} ⋅ \sqrt{3}^{2} = 4 ⋅ 3 = 12 \text{.}\)

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

\(-7 (\sqrt{8})^{2} = -7 ⋅ 8 = -56 \text{.}\)

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

\((2 \sqrt{4} - 7) (2 \sqrt{4} + 7) = (2 \sqrt{4})^{2} - 7^{2} = 4 ⋅ 4 - 49 = 16 - 49 = -33 \text{.}\)