\(\sqrt{1} = 1\)

\(\sqrt{16} = 4\)

\(\sqrt{100} = 10\)

\(\sqrt{81} + \sqrt{49} = 9 + 7 = 16\)

\(6 \sqrt{144} - 3 \sqrt{49} = 6 ⋅ 12 - 3 ⋅ 7 = 51\)

\(\sqrt{9} ⋅ \sqrt{49} = 3 ⋅ 7 = 21\)

\(\sqrt{5^{2} + 24} = \sqrt{25 + 24} = \sqrt{49} = 7\)

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

\(\sqrt{-36}\) kan niet.

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

\(\sqrt{(-3)^{2}} = \sqrt{9} = 3\)

\(7 ⋅ \sqrt{9} = 7 ⋅ 3 = 21\)

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

\(8 \sqrt{5} - 5 \sqrt{5} = 3 \sqrt{5}\)

\(11 \sqrt{3} - 3 \sqrt{6}\) kan niet korter.

\(5 \sqrt{8} ⋅ 4 \sqrt{18} = 20 ⋅ \sqrt{144} = 20 ⋅ 12 = 240\)

\(3 \sqrt{3} ⋅ 5 \sqrt{11} = 15 \sqrt{33}\)

\({\sqrt{15} \over \sqrt{3}} = \sqrt{5}\)

\({16 \sqrt{35} \over 8 \sqrt{7}} = {16 \over 8} ⋅ {\sqrt{35} \over \sqrt{7}} = 2 \sqrt{5}\)

\({6 \sqrt{72} \over 2 \sqrt{8}} = {6 \over 2} ⋅ {\sqrt{72} \over \sqrt{8}} = 3 ⋅ \sqrt{9} = 3 ⋅ 3 = 9\)

\((7 \sqrt{2})^{2} = 7^{2} ⋅ \sqrt{2}^{2} = 49 ⋅ 2 = 98 \text{.}\)

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

\(9 (\sqrt{3})^{2} = 9 ⋅ 3 = 27 \text{.}\)

\((2 \sqrt{5})^{2} - 6 (\sqrt{7})^{2} = 2^{2} ⋅ (\sqrt{5})^{2} - 6 ⋅ (\sqrt{7})^{2} = 4 ⋅ 5 - 6 ⋅ 7 = -22 \text{.}\)

\((6 \sqrt{4} + 9) (6 \sqrt{4} - 9) = (6 \sqrt{4})^{2} - 9^{2} = 36 ⋅ 4 - 81 = 144 - 81 = 63 \text{.}\)