\(\sqrt{0} = 0\)

\(\sqrt{16} = 4\)

\(\sqrt{144} = 12\)

\(\sqrt{4} + \sqrt{36} = 2 + 6 = 8\)

\(9 \sqrt{25} - 2 \sqrt{36} = 9 ⋅ 5 - 2 ⋅ 6 = 33\)

\(\sqrt{49} ⋅ \sqrt{16} = 7 ⋅ 4 = 28\)

\(\sqrt{5^{2} + 56} = \sqrt{25 + 56} = \sqrt{81} = 9\)

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

\(\sqrt{-121}\) kan niet.

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

\(\sqrt{(-8)^{2}} = \sqrt{64} = 8\)

\(4 ⋅ \sqrt{9} = 4 ⋅ 3 = 12\)

\({2 \sqrt{7} \over 3} = \frac{2}{3} \sqrt{7} \text{.}\)

\(6 \sqrt{15} + 10 \sqrt{15} = 16 \sqrt{15}\)

\(9 \sqrt{5} - 11 \sqrt{3}\) kan niet korter.

\(4 \sqrt{50} ⋅ 2 \sqrt{2} = 8 ⋅ \sqrt{100} = 8 ⋅ 10 = 80\)

\(4 \sqrt{23} ⋅ 5 \sqrt{2} = 20 \sqrt{46}\)

\({\sqrt{35} \over \sqrt{7}} = \sqrt{5}\)

\({10 \sqrt{56} \over 2 \sqrt{8}} = {10 \over 2} ⋅ {\sqrt{56} \over \sqrt{8}} = 5 \sqrt{7}\)

\({27 \sqrt{12} \over 3 \sqrt{3}} = {27 \over 3} ⋅ {\sqrt{12} \over \sqrt{3}} = 9 ⋅ \sqrt{4} = 9 ⋅ 2 = 18\)

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

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

\(-8 (\sqrt{2})^{2} = -8 ⋅ 2 = -16 \text{.}\)

\((-5 \sqrt{7})^{2} - 3 (\sqrt{8})^{2} = (-5)^{2} ⋅ (\sqrt{7})^{2} - 3 ⋅ (\sqrt{8})^{2} = 25 ⋅ 7 - 3 ⋅ 8 = 151 \text{.}\)

\((8 \sqrt{3} + 2) (8 \sqrt{3} - 2) = (8 \sqrt{3})^{2} - 2^{2} = 64 ⋅ 3 - 4 = 192 - 4 = 188 \text{.}\)