\(\sqrt{0} = 0\)

\(\sqrt{49} = 7\)

\(\sqrt{100} = 10\)

\(\sqrt{9} + \sqrt{36} = 3 + 6 = 9\)

\(6 \sqrt{64} - 4 \sqrt{81} = 6 ⋅ 8 - 4 ⋅ 9 = 12\)

\(\sqrt{9} ⋅ \sqrt{49} = 3 ⋅ 7 = 21\)

\(\sqrt{8^{2} + 36} = \sqrt{64 + 36} = \sqrt{100} = 10\)

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

\(\sqrt{-49}\) kan niet.

\(\sqrt{10^{2}} = 10\)

\(\sqrt{(-9)^{2}} = \sqrt{81} = 9\)

\(7 ⋅ \sqrt{16} = 7 ⋅ 4 = 28\)

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

\(6 \sqrt{15} + 5 \sqrt{15} = 11 \sqrt{15}\)

\(6 \sqrt{5} + 3 \sqrt{11}\) kan niet korter.

\(5 \sqrt{48} ⋅ 2 \sqrt{3} = 10 ⋅ \sqrt{144} = 10 ⋅ 12 = 120\)

\(2 \sqrt{5} ⋅ 6 \sqrt{2} = 12 \sqrt{10}\)

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

\({48 \sqrt{40} \over 6 \sqrt{8}} = {48 \over 6} ⋅ {\sqrt{40} \over \sqrt{8}} = 8 \sqrt{5}\)

\({8 \sqrt{63} \over 4 \sqrt{7}} = {8 \over 4} ⋅ {\sqrt{63} \over \sqrt{7}} = 2 ⋅ \sqrt{9} = 2 ⋅ 3 = 6\)

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

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

\(5 (\sqrt{7})^{2} = 5 ⋅ 7 = 35 \text{.}\)

\((-4 \sqrt{6})^{2} - 5 (\sqrt{8})^{2} = (-4)^{2} ⋅ (\sqrt{6})^{2} - 5 ⋅ (\sqrt{8})^{2} = 16 ⋅ 6 - 5 ⋅ 8 = 56 \text{.}\)