Question

Simplify. sqrt108-3sqrt8-sqrt27

Answer 1

\[108=36\times 3\] so
\[\sqrt{108}=\sqrt{36\times 3}=\sqrt{36}\times \sqrt{3}=6\sqrt{3}\]

Answer 2

\[8=4\times 2\] so
\[-3\sqrt{8}=-3\times \sqrt{4}\times \sqrt{2}=-3\times 2\times \sqrt{2}=-6\sqrt{2}\]

Answer 3

and finally
\[27=9\times 3\] so ...

Answer 4

-3√3-6√2!