\(\sqrt{0}=0\)

\(\sqrt{25}=5\)

\(\sqrt{144}=12\)

\(\sqrt{4}-\sqrt{64}=2-8=-6\)

\(7\sqrt{100}-12\sqrt{16}=7⋅10-12⋅4=22\)

\(\sqrt{64}⋅\sqrt{9}=8⋅3=24\)

\((-4\sqrt{8})^2=(-4)^2⋅\sqrt{8}^2=16⋅8=128\text{.}\)

\((3\sqrt{9}-7)(3\sqrt{9}+7)=(3\sqrt{9})^2-7^2=9⋅9-49=81-49=32\text{.}\)

\((\sqrt{6})^2=6\text{.}\)

\(-7(\sqrt{2})^2=-7⋅2=-14\text{.}\)

\(5\sqrt{2}-2\sqrt{2}=3\sqrt{2}\)

\(5\sqrt{2}⋅6\sqrt{3}=30\sqrt{6}\)

\({\sqrt{6} \over \sqrt{2}}=\sqrt{3}\)

\({30\sqrt{12} \over 6\sqrt{2}}={30 \over 6}⋅{\sqrt{12} \over \sqrt{2}}=5\sqrt{6}\)

\({15\sqrt{32} \over 3\sqrt{8}}={15 \over 3}⋅{\sqrt{32} \over \sqrt{8}}=5⋅\sqrt{4}=5⋅2=10\)