\(\sqrt{1} = 1\)

\(\sqrt{9} = 3\)

\(\sqrt{144} = 12\)

\(\sqrt{81} - \sqrt{9} = 9 - 3 = 6\)

\(8 \sqrt{25} - 3 \sqrt{144} = 8 ⋅ 5 - 3 ⋅ 12 = 4\)

\(\sqrt{4} ⋅ \sqrt{25} = 2 ⋅ 5 = 10\)

\(\sqrt{10^{2} + 21} = \sqrt{100 + 21} = \sqrt{121} = 11\)

\(-\sqrt{36} = -6\)

\(\sqrt{-64}\) kan niet.

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

\(\sqrt{(-8)^{2}} = \sqrt{64} = 8\)

\(4 ⋅ \sqrt{4} = 4 ⋅ 2 = 8\)

\({8 \sqrt{5} \over 7} = 1\frac{1}{7} \sqrt{5} \text{.}\)

\(8 \sqrt{11} - 9 \sqrt{11} = -\sqrt{11}\)

\(10 \sqrt{10} - 4 \sqrt{7}\) kan niet korter.

\(5 \sqrt{3} ⋅ 4 \sqrt{27} = 20 ⋅ \sqrt{81} = 20 ⋅ 9 = 180\)

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

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

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

\({56 \sqrt{63} \over 7 \sqrt{7}} = {56 \over 7} ⋅ {\sqrt{63} \over \sqrt{7}} = 8 ⋅ \sqrt{9} = 8 ⋅ 3 = 24\)

\((8 \sqrt{7})^{2} = 8^{2} ⋅ \sqrt{7}^{2} = 64 ⋅ 7 = 448 \text{.}\)

\((\sqrt{3})^{2} = 3 \text{.}\)

\(9 (\sqrt{8})^{2} = 9 ⋅ 8 = 72 \text{.}\)

\((-2 \sqrt{6})^{2} - 8 (\sqrt{3})^{2} = (-2)^{2} ⋅ (\sqrt{6})^{2} - 8 ⋅ (\sqrt{3})^{2} = 4 ⋅ 6 - 8 ⋅ 3 = 0 \text{.}\)