\(\sqrt{0} = 0\)

\(\sqrt{25} = 5\)

\(\sqrt{121} = 11\)

\(\sqrt{25} - \sqrt{36} = 5 - 6 = -1\)

\(10 \sqrt{16} + 9 \sqrt{4} = 10 ⋅ 4 + 9 ⋅ 2 = 58\)

\(\sqrt{9} ⋅ \sqrt{16} = 3 ⋅ 4 = 12\)

\(\sqrt{5^{2} + 96} = \sqrt{25 + 96} = \sqrt{121} = 11\)

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

\(\sqrt{-9}\) kan niet.

\(\sqrt{12^{2}} = 12\)

\(\sqrt{(-6)^{2}} = \sqrt{36} = 6\)

\(3 ⋅ \sqrt{36} = 3 ⋅ 6 = 18\)

\({4 \sqrt{7} \over 3} = 1\frac{1}{3} \sqrt{7} \text{.}\)

\(8 \sqrt{3} - 6 \sqrt{3} = 2 \sqrt{3}\)

\(3 \sqrt{2} - 6 \sqrt{3}\) kan niet korter.

\(2 \sqrt{12} ⋅ 3 \sqrt{12} = 6 ⋅ \sqrt{144} = 6 ⋅ 12 = 72\)

\(6 \sqrt{5} ⋅ 2 \sqrt{7} = 12 \sqrt{35}\)

\({\sqrt{30} \over \sqrt{10}} = \sqrt{3}\)

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

\({42 \sqrt{90} \over 6 \sqrt{10}} = {42 \over 6} ⋅ {\sqrt{90} \over \sqrt{10}} = 7 ⋅ \sqrt{9} = 7 ⋅ 3 = 21\)

\((9 \sqrt{5})^{2} = 9^{2} ⋅ \sqrt{5}^{2} = 81 ⋅ 5 = 405 \text{.}\)

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

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

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