\(\sqrt{1} = 1\)

\(\sqrt{9} = 3\)

\(\sqrt{144} = 12\)

\(\sqrt{81} + \sqrt{36} = 9 + 6 = 15\)

\(8 \sqrt{25} - 6 \sqrt{100} = 8 ⋅ 5 - 6 ⋅ 10 = -20\)

\(\sqrt{25} ⋅ \sqrt{49} = 5 ⋅ 7 = 35\)

\(\sqrt{6^{2} + 64} = \sqrt{36 + 64} = \sqrt{100} = 10\)

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

\(\sqrt{-16}\) kan niet.

\(\sqrt{5^{2}} = 5\)

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

\(2 ⋅ \sqrt{25} = 2 ⋅ 5 = 10\)

\({4 \sqrt{5} \over 3} = 1\frac{1}{3} \sqrt{5} \text{.}\)

\(6 \sqrt{14} + \sqrt{14} = 7 \sqrt{14}\)

\(6 \sqrt{7} + 5 \sqrt{3}\) kan niet korter.

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

\(4 \sqrt{6} ⋅ 3 \sqrt{5} = 12 \sqrt{30}\)

\({\sqrt{48} \over \sqrt{8}} = \sqrt{6}\)

\({18 \sqrt{25} \over 2 \sqrt{5}} = {18 \over 2} ⋅ {\sqrt{25} \over \sqrt{5}} = 9 \sqrt{5}\)

\({4 \sqrt{20} \over \sqrt{5}} = 4 ⋅ {\sqrt{20} \over \sqrt{5}} = 4 ⋅ \sqrt{4} = 4 ⋅ 2 = 8\)

\((-8 \sqrt{5})^{2} = (-8)^{2} ⋅ \sqrt{5}^{2} = 64 ⋅ 5 = 320 \text{.}\)

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

\(7 (\sqrt{2})^{2} = 7 ⋅ 2 = 14 \text{.}\)

\((3 \sqrt{5})^{2} - 4 (\sqrt{6})^{2} = 3^{2} ⋅ (\sqrt{5})^{2} - 4 ⋅ (\sqrt{6})^{2} = 9 ⋅ 5 - 4 ⋅ 6 = 21 \text{.}\)