\(\sqrt{1} = 1\)

\(\sqrt{36} = 6\)

\(\sqrt{225} = 15\)

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

\(12 \sqrt{36} - 5 \sqrt{64} = 12 ⋅ 6 - 5 ⋅ 8 = 32\)

\(\sqrt{36} ⋅ \sqrt{4} = 6 ⋅ 2 = 12\)

\(\sqrt{6^{2} + 45} = \sqrt{36 + 45} = \sqrt{81} = 9\)

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

\(\sqrt{-100}\) kan niet.

\(\sqrt{8^{2}} = 8\)

\(\sqrt{(-12)^{2}} = \sqrt{144} = 12\)

\(2 ⋅ \sqrt{16} = 2 ⋅ 4 = 8\)

\({7 \sqrt{5} \over 4} = 1\frac{3}{4} \sqrt{5} \text{.}\)

\(10 \sqrt{5} + 5 \sqrt{5} = 15 \sqrt{5}\)

\(5 \sqrt{7} + 8 \sqrt{5}\) kan niet korter.

\(4 \sqrt{2} ⋅ 2 \sqrt{32} = 8 ⋅ \sqrt{64} = 8 ⋅ 8 = 64\)

\(6 \sqrt{7} ⋅ 3 \sqrt{3} = 18 \sqrt{21}\)

\({\sqrt{42} \over \sqrt{7}} = \sqrt{6}\)

\({18 \sqrt{25} \over 6 \sqrt{5}} = {18 \over 6} ⋅ {\sqrt{25} \over \sqrt{5}} = 3 \sqrt{5}\)

\({27 \sqrt{20} \over 9 \sqrt{5}} = {27 \over 9} ⋅ {\sqrt{20} \over \sqrt{5}} = 3 ⋅ \sqrt{4} = 3 ⋅ 2 = 6\)

\((-7 \sqrt{6})^{2} = (-7)^{2} ⋅ \sqrt{6}^{2} = 49 ⋅ 6 = 294 \text{.}\)

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

\(-4 (\sqrt{6})^{2} = -4 ⋅ 6 = -24 \text{.}\)

\((5 \sqrt{2})^{2} - 8 (\sqrt{7})^{2} = 5^{2} ⋅ (\sqrt{2})^{2} - 8 ⋅ (\sqrt{7})^{2} = 25 ⋅ 2 - 8 ⋅ 7 = -6 \text{.}\)

\((3 \sqrt{8} + 6) (3 \sqrt{8} - 6) = (3 \sqrt{8})^{2} - 6^{2} = 9 ⋅ 8 - 36 = 72 - 36 = 36 \text{.}\)