\(\sqrt{0}=0\)

\(\sqrt{16}=4\)

\(\sqrt{169}=13\)

\(\sqrt{4}-\sqrt{81}=2-9=-7\)

\(4\sqrt{9}-12\sqrt{81}=4⋅3-12⋅9=-96\)

\(\sqrt{81}⋅\sqrt{16}=9⋅4=36\)

\(\sqrt{6^2+13}=\sqrt{36+13}=\sqrt{49}=7\)

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

\(\sqrt{-9}\) kan niet.

\(\sqrt{10^2}=10\)

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

\(4⋅\sqrt{49}=4⋅7=28\)

\({5\sqrt{3} \over 3}=1\frac{2}{3}\sqrt{3}\text{.}\)

\(6\sqrt{2}-2\sqrt{2}=4\sqrt{2}\)

\(9\sqrt{2}-6\sqrt{7}\) kan niet korter.

\(5\sqrt{3}⋅4\sqrt{48}=20⋅\sqrt{144}=20⋅12=240\)

\(2\sqrt{3}⋅6\sqrt{7}=12\sqrt{21}\)

\({\sqrt{21} \over \sqrt{7}}=\sqrt{3}\)

\({24\sqrt{36} \over 8\sqrt{6}}={24 \over 8}⋅{\sqrt{36} \over \sqrt{6}}=3\sqrt{6}\)

\({14\sqrt{63} \over 7\sqrt{7}}={14 \over 7}⋅{\sqrt{63} \over \sqrt{7}}=2⋅\sqrt{9}=2⋅3=6\)

\((-2\sqrt{7})^2=(-2)^2⋅\sqrt{7}^2=4⋅7=28\text{.}\)

\((\sqrt{11})^2=11\text{.}\)

\(-3(\sqrt{2})^2=-3⋅2=-6\text{.}\)

\((-5\sqrt{7})^2-3(\sqrt{6})^2=(-5)^2⋅(\sqrt{7})^2-3⋅(\sqrt{6})^2=25⋅7-3⋅6=157\text{.}\)

\((7\sqrt{3}+9)(7\sqrt{3}-9)=(7\sqrt{3})^2-9^2=49⋅3-81=147-81=66\text{.}\)