Simplify \(\sqrt{12}\) to \(2\sqrt{3}\).
\[\sqrt{2\sqrt{3}+\sqrt{27}+\sqrt{3}+12}\]
Simplify \(\sqrt{27}\) to \(3\sqrt{3}\).
\[\sqrt{2\sqrt{3}+3\sqrt{3}+\sqrt{3}+12}\]
Collect like terms.
\[\sqrt{(2\sqrt{3}+3\sqrt{3}+\sqrt{3})+12}\]
Simplify \((2\sqrt{3}+3\sqrt{3}+\sqrt{3})+12\) to \(6\sqrt{3}+12\).
\[\sqrt{6\sqrt{3}+12}\]
Factor out the common term \(6\).
\[\sqrt{6(\sqrt{3}+2)}\]
Decimal Form: 4.732051
sqrt(6*(sqrt(3)+2))
