\(\sqrt{0} = 0\)

\(\sqrt{9} = 3\)

\(\sqrt{64} = 8\)

\(\sqrt{49} - \sqrt{36} = 7 - 6 = 1\)

\(5 \sqrt{4} + 6 \sqrt{49} = 5 ⋅ 2 + 6 ⋅ 7 = 52\)

\(\sqrt{4} ⋅ \sqrt{36} = 2 ⋅ 6 = 12\)

\(\sqrt{10^{2} + 44} = \sqrt{100 + 44} = \sqrt{144} = 12\)

\(-\sqrt{25} = -5\)

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

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

\(\sqrt{(-4)^{2}} = \sqrt{16} = 4\)

\(5 ⋅ \sqrt{4} = 5 ⋅ 2 = 10\)

\({5 \sqrt{7} \over 6} = \frac{5}{6} \sqrt{7} \text{.}\)

\(6 \sqrt{10} + 10 \sqrt{10} = 16 \sqrt{10}\)

\(10 \sqrt{6} + 7 \sqrt{7}\) kan niet korter.

\(3 \sqrt{2} ⋅ 2 \sqrt{50} = 6 ⋅ \sqrt{100} = 6 ⋅ 10 = 60\)

\(5 \sqrt{11} ⋅ 2 \sqrt{3} = 10 \sqrt{33}\)

\({\sqrt{50} \over \sqrt{10}} = \sqrt{5}\)

\({18 \sqrt{40} \over 2 \sqrt{8}} = {18 \over 2} ⋅ {\sqrt{40} \over \sqrt{8}} = 9 \sqrt{5}\)

\({72 \sqrt{63} \over 9 \sqrt{7}} = {72 \over 9} ⋅ {\sqrt{63} \over \sqrt{7}} = 8 ⋅ \sqrt{9} = 8 ⋅ 3 = 24\)

\((-9 \sqrt{2})^{2} = (-9)^{2} ⋅ \sqrt{2}^{2} = 81 ⋅ 2 = 162 \text{.}\)

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

\(4 (\sqrt{10})^{2} = 4 ⋅ 10 = 40 \text{.}\)

\((5 \sqrt{3})^{2} - 9 (\sqrt{7})^{2} = 5^{2} ⋅ (\sqrt{3})^{2} - 9 ⋅ (\sqrt{7})^{2} = 25 ⋅ 3 - 9 ⋅ 7 = 12 \text{.}\)

\((3 \sqrt{2} - 4) (3 \sqrt{2} + 4) = (3 \sqrt{2})^{2} - 4^{2} = 9 ⋅ 2 - 16 = 18 - 16 = 2 \text{.}\)