\(\sqrt{1}=1\)

\(\sqrt{9}=3\)

\(\sqrt{121}=11\)

\(\sqrt{64}+\sqrt{4}=8+2=10\)

\(9\sqrt{121}+4\sqrt{25}=9⋅11+4⋅5=119\)

\(\sqrt{16}⋅\sqrt{36}=4⋅6=24\)

\(\sqrt{5^2+119}=\sqrt{25+119}=\sqrt{144}=12\)

\(-\sqrt{100}=-10\)

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

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

\(\sqrt{(-5)^2}=\sqrt{25}=5\)

\(3⋅\sqrt{49}=3⋅7=21\)

\({5\sqrt{2} \over 6}=\frac{5}{6}\sqrt{2}\text{.}\)

\(4\sqrt{10}+3\sqrt{10}=7\sqrt{10}\)

\(3\sqrt{10}+11\sqrt{5}\) kan niet korter.

\(4\sqrt{27}⋅5\sqrt{3}=20⋅\sqrt{81}=20⋅9=180\)

\(6\sqrt{13}⋅3\sqrt{3}=18\sqrt{39}\)

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

\({28\sqrt{35} \over 4\sqrt{7}}={28 \over 4}⋅{\sqrt{35} \over \sqrt{7}}=7\sqrt{5}\)

\({40\sqrt{72} \over 8\sqrt{8}}={40 \over 8}⋅{\sqrt{72} \over \sqrt{8}}=5⋅\sqrt{9}=5⋅3=15\)

\((-9\sqrt{3})^2=(-9)^2⋅\sqrt{3}^2=81⋅3=243\text{.}\)

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

\(-5(\sqrt{10})^2=-5⋅10=-50\text{.}\)

\((2\sqrt{5})^2-7(\sqrt{6})^2=2^2⋅(\sqrt{5})^2-7⋅(\sqrt{6})^2=4⋅5-7⋅6=-22\text{.}\)