\(\sqrt{0} = 0\)

\(\sqrt{25} = 5\)

\(\sqrt{121} = 11\)

\(\sqrt{4} + \sqrt{25} = 2 + 5 = 7\)

\(6 \sqrt{25} - 4 \sqrt{81} = 6 ⋅ 5 - 4 ⋅ 9 = -6\)

\(\sqrt{4} ⋅ \sqrt{81} = 2 ⋅ 9 = 18\)

\(\sqrt{6^{2} + 108} = \sqrt{36 + 108} = \sqrt{144} = 12\)

\(-\sqrt{49} = -7\)

\(\sqrt{-81}\) kan niet.

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

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

\(8 ⋅ \sqrt{4} = 8 ⋅ 2 = 16\)

\({9 \sqrt{3} \over 4} = 2\frac{1}{4} \sqrt{3} \text{.}\)

\(2 \sqrt{11} - 7 \sqrt{11} = -5 \sqrt{11}\)

\(10 \sqrt{2} + 5 \sqrt{3}\) kan niet korter.

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

\(6 \sqrt{2} ⋅ 4 \sqrt{23} = 24 \sqrt{46}\)

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

\({30 \sqrt{50} \over 5 \sqrt{10}} = {30 \over 5} ⋅ {\sqrt{50} \over \sqrt{10}} = 6 \sqrt{5}\)

\({63 \sqrt{63} \over 9 \sqrt{7}} = {63 \over 9} ⋅ {\sqrt{63} \over \sqrt{7}} = 7 ⋅ \sqrt{9} = 7 ⋅ 3 = 21\)

\((6 \sqrt{5})^{2} = 6^{2} ⋅ \sqrt{5}^{2} = 36 ⋅ 5 = 180 \text{.}\)

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

\(5 (\sqrt{6})^{2} = 5 ⋅ 6 = 30 \text{.}\)

\((4 \sqrt{5})^{2} - 9 (\sqrt{6})^{2} = 4^{2} ⋅ (\sqrt{5})^{2} - 9 ⋅ (\sqrt{6})^{2} = 16 ⋅ 5 - 9 ⋅ 6 = 26 \text{.}\)