\(\sqrt{1}=1\)

\(\sqrt{16}=4\)

\(\sqrt{81}=9\)

\(\sqrt{64}-\sqrt{9}=8-3=5\)

\(2\sqrt{25}+8\sqrt{100}=2⋅5+8⋅10=90\)

\(\sqrt{36}⋅\sqrt{16}=6⋅4=24\)

\((7\sqrt{6})^2=7^2⋅\sqrt{6}^2=49⋅6=294\text{.}\)

\((4\sqrt{3}-5)(4\sqrt{3}+5)=(4\sqrt{3})^2-5^2=16⋅3-25=48-25=23\text{.}\)

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

\(8(\sqrt{2})^2=8⋅2=16\text{.}\)

\(9\sqrt{10}+7\sqrt{10}=16\sqrt{10}\)

\(4\sqrt{3}⋅6\sqrt{7}=24\sqrt{21}\)

\({\sqrt{70} \over \sqrt{10}}=\sqrt{7}\)

\({16\sqrt{42} \over 2\sqrt{7}}={16 \over 2}⋅{\sqrt{42} \over \sqrt{7}}=8\sqrt{6}\)

\({28\sqrt{8} \over 4\sqrt{2}}={28 \over 4}⋅{\sqrt{8} \over \sqrt{2}}=7⋅\sqrt{4}=7⋅2=14\)