Rekenen met wortels

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

\({6 \sqrt{18} \over 3 \sqrt{3}} = {6 \over 3} ⋅ {\sqrt{18} \over \sqrt{3}} = 2 \sqrt{6}\)

\({28 \sqrt{54} \over 7 \sqrt{6}} = {28 \over 7} ⋅ {\sqrt{54} \over \sqrt{6}} = 4 ⋅ \sqrt{9} = 4 ⋅ 3 = 12\)

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

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

\((-2 \sqrt{8})^{2} = (-2)^{2} ⋅ \sqrt{8}^{2} = 4 ⋅ 8 = 32 \text{.}\)

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

\((7 \sqrt{5} - 3) (7 \sqrt{5} + 3) = (7 \sqrt{5})^{2} - 3^{2} = 49 ⋅ 5 - 9 = 245 - 9 = 236 \text{.}\)

\(\sqrt{9} + \sqrt{64} = 3 + 8 = 11\)

\(5 \sqrt{4} + 11 \sqrt{36} = 5 ⋅ 2 + 11 ⋅ 6 = 76\)

\(5 \sqrt{11} + 3 \sqrt{11} = 8 \sqrt{11}\)

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

\(9 ⋅ \sqrt{49} = 9 ⋅ 7 = 63\)

\(\sqrt{16} ⋅ \sqrt{81} = 4 ⋅ 9 = 36\)

\(4 \sqrt{6} ⋅ 5 \sqrt{24} = 20 ⋅ \sqrt{144} = 20 ⋅ 12 = 240\)

\(5 \sqrt{3} ⋅ 3 \sqrt{11} = 15 \sqrt{33}\)

\({7 \sqrt{2} \over 6} = 1\frac{1}{6} \sqrt{2} \text{.}\)

\(\sqrt{0} = 0\)

\(\sqrt{25} = 5\)

\(\sqrt{64} = 8\)

\(\sqrt{7^{2} + 32} = \sqrt{49 + 32} = \sqrt{81} = 9\)

\(-\sqrt{100} = -10\)

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

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

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