\(\sqrt{1}=1\)

\(\sqrt{36}=6\)

\(\sqrt{196}=14\)

\(\sqrt{81}-\sqrt{36}=9-6=3\)

\(10\sqrt{36}-11\sqrt{16}=10⋅6-11⋅4=16\)

\(\sqrt{9}⋅\sqrt{64}=3⋅8=24\)

\(\sqrt{10^2+21}=\sqrt{100+21}=\sqrt{121}=11\)

\(-\sqrt{16}=-4\)

\(\sqrt{-16}\) kan niet.

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

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

\(3⋅\sqrt{36}=3⋅6=18\)

\({7\sqrt{7} \over 2}=3\frac{1}{2}\sqrt{7}\text{.}\)

\(10\sqrt{11}-6\sqrt{11}=4\sqrt{11}\)

\(9\sqrt{5}-8\sqrt{10}\) kan niet korter.

\(3\sqrt{11}⋅4\sqrt{11}=12⋅\sqrt{121}=12⋅11=132\)

\(5\sqrt{3}⋅6\sqrt{11}=30\sqrt{33}\)

\({\sqrt{12} \over \sqrt{6}}=\sqrt{2}\)

\({10\sqrt{14} \over 2\sqrt{7}}={10 \over 2}⋅{\sqrt{14} \over \sqrt{7}}=5\sqrt{2}\)

\({6\sqrt{8} \over \sqrt{2}}=6⋅{\sqrt{8} \over \sqrt{2}}=6⋅\sqrt{4}=6⋅2=12\)

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

\((\sqrt{7})^2=7\text{.}\)

\(-9(\sqrt{7})^2=-9⋅7=-63\text{.}\)

\((4\sqrt{5})^2-8(\sqrt{3})^2=4^2⋅(\sqrt{5})^2-8⋅(\sqrt{3})^2=16⋅5-8⋅3=56\text{.}\)

\((5\sqrt{7}-6)(5\sqrt{7}+6)=(5\sqrt{7})^2-6^2=25⋅7-36=175-36=139\text{.}\)