\(\sqrt{0} = 0\)

\(\sqrt{49} = 7\)

\(\sqrt{64} = 8\)

\(\sqrt{9} + \sqrt{81} = 3 + 9 = 12\)

\(4 \sqrt{100} + 7 \sqrt{9} = 4 ⋅ 10 + 7 ⋅ 3 = 61\)

\(\sqrt{36} ⋅ \sqrt{16} = 6 ⋅ 4 = 24\)

\(\sqrt{5^{2} + 39} = \sqrt{25 + 39} = \sqrt{64} = 8\)

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

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

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

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

\(6 ⋅ \sqrt{81} = 6 ⋅ 9 = 54\)

\({9 \sqrt{5} \over 2} = 4\frac{1}{2} \sqrt{5} \text{.}\)

\(8 \sqrt{7} - \sqrt{7} = 7 \sqrt{7}\)

\(6 \sqrt{7} - 9 \sqrt{3}\) kan niet korter.

\(3 \sqrt{2} ⋅ 5 \sqrt{2} = 15 ⋅ \sqrt{4} = 15 ⋅ 2 = 30\)

\(4 \sqrt{3} ⋅ 5 \sqrt{7} = 20 \sqrt{21}\)

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

\({6 \sqrt{30} \over 2 \sqrt{3}} = {6 \over 2} ⋅ {\sqrt{30} \over \sqrt{3}} = 3 \sqrt{10}\)

\({54 \sqrt{45} \over 6 \sqrt{5}} = {54 \over 6} ⋅ {\sqrt{45} \over \sqrt{5}} = 9 ⋅ \sqrt{9} = 9 ⋅ 3 = 27\)

\((8 \sqrt{2})^{2} = 8^{2} ⋅ \sqrt{2}^{2} = 64 ⋅ 2 = 128 \text{.}\)

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

\(-7 (\sqrt{10})^{2} = -7 ⋅ 10 = -70 \text{.}\)

\((3 \sqrt{5})^{2} - 8 (\sqrt{6})^{2} = 3^{2} ⋅ (\sqrt{5})^{2} - 8 ⋅ (\sqrt{6})^{2} = 9 ⋅ 5 - 8 ⋅ 6 = -3 \text{.}\)