Rekenen met wortels

\({\sqrt{15} \over \sqrt{5}} = \sqrt{3}\)

\({42 \sqrt{100} \over 6 \sqrt{10}} = {42 \over 6} ⋅ {\sqrt{100} \over \sqrt{10}} = 7 \sqrt{10}\)

\({9 \sqrt{28} \over \sqrt{7}} = 9 ⋅ {\sqrt{28} \over \sqrt{7}} = 9 ⋅ \sqrt{4} = 9 ⋅ 2 = 18\)

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

\(3 (\sqrt{8})^{2} = 3 ⋅ 8 = 24 \text{.}\)

\((-7 \sqrt{8})^{2} = (-7)^{2} ⋅ \sqrt{8}^{2} = 49 ⋅ 8 = 392 \text{.}\)

\((5 \sqrt{8})^{2} - 9 (\sqrt{2})^{2} = 5^{2} ⋅ (\sqrt{8})^{2} - 9 ⋅ (\sqrt{2})^{2} = 25 ⋅ 8 - 9 ⋅ 2 = 182 \text{.}\)

\((6 \sqrt{7} - 4) (6 \sqrt{7} + 4) = (6 \sqrt{7})^{2} - 4^{2} = 36 ⋅ 7 - 16 = 252 - 16 = 236 \text{.}\)

\(\sqrt{36} + \sqrt{64} = 6 + 8 = 14\)

\(6 \sqrt{100} - 5 \sqrt{81} = 6 ⋅ 10 - 5 ⋅ 9 = 15\)

\(10 \sqrt{15} - 9 \sqrt{15} = \sqrt{15}\)

\(12 \sqrt{10} - 2 \sqrt{6}\) kan niet korter.

\(8 ⋅ \sqrt{36} = 8 ⋅ 6 = 48\)

\(\sqrt{4} ⋅ \sqrt{36} = 2 ⋅ 6 = 12\)

\(4 \sqrt{3} ⋅ 5 \sqrt{12} = 20 ⋅ \sqrt{36} = 20 ⋅ 6 = 120\)

\(3 \sqrt{2} ⋅ 4 \sqrt{3} = 12 \sqrt{6}\)

\({2 \sqrt{5} \over 3} = \frac{2}{3} \sqrt{5} \text{.}\)

\(\sqrt{0} = 0\)

\(\sqrt{9} = 3\)

\(\sqrt{81} = 9\)

\(\sqrt{8^{2} + 57} = \sqrt{64 + 57} = \sqrt{121} = 11\)

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

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

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

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