\(\sqrt{0} = 0\)

\(\sqrt{16} = 4\)

\(\sqrt{196} = 14\)

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

\(5 \sqrt{100} - 7 \sqrt{144} = 5 ⋅ 10 - 7 ⋅ 12 = -34\)

\(\sqrt{64} ⋅ \sqrt{4} = 8 ⋅ 2 = 16\)

\(\sqrt{6^{2} + 45} = \sqrt{36 + 45} = \sqrt{81} = 9\)

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

\(\sqrt{-81}\) kan niet.

\(\sqrt{12^{2}} = 12\)

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

\(2 ⋅ \sqrt{9} = 2 ⋅ 3 = 6\)

\({7 \sqrt{2} \over 6} = 1\frac{1}{6} \sqrt{2} \text{.}\)

\(4 \sqrt{15} + 9 \sqrt{15} = 13 \sqrt{15}\)

\(3 \sqrt{5} + 9 \sqrt{6}\) kan niet korter.

\(3 \sqrt{18} ⋅ 4 \sqrt{8} = 12 ⋅ \sqrt{144} = 12 ⋅ 12 = 144\)

\(4 \sqrt{11} ⋅ 3 \sqrt{3} = 12 \sqrt{33}\)

\({\sqrt{12} \over \sqrt{2}} = \sqrt{6}\)

\({15 \sqrt{36} \over 5 \sqrt{6}} = {15 \over 5} ⋅ {\sqrt{36} \over \sqrt{6}} = 3 \sqrt{6}\)

\({56 \sqrt{32} \over 7 \sqrt{8}} = {56 \over 7} ⋅ {\sqrt{32} \over \sqrt{8}} = 8 ⋅ \sqrt{4} = 8 ⋅ 2 = 16\)

\((6 \sqrt{5})^{2} = 6^{2} ⋅ \sqrt{5}^{2} = 36 ⋅ 5 = 180 \text{.}\)

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

\(7 (\sqrt{10})^{2} = 7 ⋅ 10 = 70 \text{.}\)

\((-4 \sqrt{7})^{2} - 9 (\sqrt{6})^{2} = (-4)^{2} ⋅ (\sqrt{7})^{2} - 9 ⋅ (\sqrt{6})^{2} = 16 ⋅ 7 - 9 ⋅ 6 = 58 \text{.}\)

\((2 \sqrt{7} + 8) (2 \sqrt{7} - 8) = (2 \sqrt{7})^{2} - 8^{2} = 4 ⋅ 7 - 64 = 28 - 64 = -36 \text{.}\)