\(\sqrt{0} = 0\)

\(\sqrt{25} = 5\)

\(\sqrt{144} = 12\)

\(\sqrt{9} + \sqrt{36} = 3 + 6 = 9\)

\(8 \sqrt{121} - 3 \sqrt{144} = 8 ⋅ 11 - 3 ⋅ 12 = 52\)

\(\sqrt{4} ⋅ \sqrt{9} = 2 ⋅ 3 = 6\)

\(\sqrt{7^{2} + 15} = \sqrt{49 + 15} = \sqrt{64} = 8\)

\(-\sqrt{121} = -11\)

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

\(\sqrt{4^{2}} = 4\)

\(\sqrt{(-11)^{2}} = \sqrt{121} = 11\)

\(2 ⋅ \sqrt{25} = 2 ⋅ 5 = 10\)

\({7 \sqrt{2} \over 8} = \frac{7}{8} \sqrt{2} \text{.}\)

\(10 \sqrt{10} + \sqrt{10} = 11 \sqrt{10}\)

\(4 \sqrt{5} + 10 \sqrt{6}\) kan niet korter.

\(5 \sqrt{3} ⋅ 3 \sqrt{12} = 15 ⋅ \sqrt{36} = 15 ⋅ 6 = 90\)

\(6 \sqrt{13} ⋅ 3 \sqrt{3} = 18 \sqrt{39}\)

\({\sqrt{30} \over \sqrt{6}} = \sqrt{5}\)

\({45 \sqrt{80} \over 9 \sqrt{8}} = {45 \over 9} ⋅ {\sqrt{80} \over \sqrt{8}} = 5 \sqrt{10}\)

\({18 \sqrt{72} \over 3 \sqrt{8}} = {18 \over 3} ⋅ {\sqrt{72} \over \sqrt{8}} = 6 ⋅ \sqrt{9} = 6 ⋅ 3 = 18\)

\((5 \sqrt{3})^{2} = 5^{2} ⋅ \sqrt{3}^{2} = 25 ⋅ 3 = 75 \text{.}\)

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

\(5 (\sqrt{3})^{2} = 5 ⋅ 3 = 15 \text{.}\)

\((3 \sqrt{5})^{2} - 7 (\sqrt{6})^{2} = 3^{2} ⋅ (\sqrt{5})^{2} - 7 ⋅ (\sqrt{6})^{2} = 9 ⋅ 5 - 7 ⋅ 6 = 3 \text{.}\)