\(\sqrt{0} = 0\)

\(\sqrt{49} = 7\)

\(\sqrt{100} = 10\)

\(\sqrt{64} - \sqrt{81} = 8 - 9 = -1\)

\(6 \sqrt{49} + 9 \sqrt{25} = 6 ⋅ 7 + 9 ⋅ 5 = 87\)

\(\sqrt{49} ⋅ \sqrt{64} = 7 ⋅ 8 = 56\)

\(\sqrt{7^{2} + 72} = \sqrt{49 + 72} = \sqrt{121} = 11\)

\(-\sqrt{36} = -6\)

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

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

\(\sqrt{(-5)^{2}} = \sqrt{25} = 5\)

\(4 ⋅ \sqrt{9} = 4 ⋅ 3 = 12\)

\({5 \sqrt{7} \over 9} = \frac{5}{9} \sqrt{7} \text{.}\)

\(8 \sqrt{13} + 2 \sqrt{13} = 10 \sqrt{13}\)

\(2 \sqrt{3} + 11 \sqrt{7}\) kan niet korter.

\(4 \sqrt{5} ⋅ 3 \sqrt{20} = 12 ⋅ \sqrt{100} = 12 ⋅ 10 = 120\)

\(6 \sqrt{5} ⋅ 3 \sqrt{7} = 18 \sqrt{35}\)

\({\sqrt{21} \over \sqrt{7}} = \sqrt{3}\)

\({21 \sqrt{10} \over 3 \sqrt{2}} = {21 \over 3} ⋅ {\sqrt{10} \over \sqrt{2}} = 7 \sqrt{5}\)

\({3 \sqrt{32} \over \sqrt{8}} = 3 ⋅ {\sqrt{32} \over \sqrt{8}} = 3 ⋅ \sqrt{4} = 3 ⋅ 2 = 6\)

\((-4 \sqrt{3})^{2} = (-4)^{2} ⋅ \sqrt{3}^{2} = 16 ⋅ 3 = 48 \text{.}\)

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

\(-2 (\sqrt{6})^{2} = -2 ⋅ 6 = -12 \text{.}\)

\((-4 \sqrt{2})^{2} - 3 (\sqrt{6})^{2} = (-4)^{2} ⋅ (\sqrt{2})^{2} - 3 ⋅ (\sqrt{6})^{2} = 16 ⋅ 2 - 3 ⋅ 6 = 14 \text{.}\)