Collect like terms.
\[(-\sqrt{2}(1+\sqrt{3})-14\sqrt{2}(1+\sqrt{3}))+14\sqrt{2}(3-\sqrt{3})-14\sqrt{2}(1-\sqrt{3})\]
Simplify.
\[-15\sqrt{2}(1+\sqrt{3})+14\sqrt{2}(3-\sqrt{3})-14\sqrt{2}(1-\sqrt{3})\]
Expand by distributing terms.
\[-(15\sqrt{2}+15\sqrt{6})+14\sqrt{2}(3-\sqrt{3})-14\sqrt{2}(1-\sqrt{3})\]
Expand by distributing terms.
\[-(15\sqrt{2}+15\sqrt{6})+42\sqrt{2}-14\sqrt{6}-14\sqrt{2}(1-\sqrt{3})\]
Expand by distributing terms.
\[-(15\sqrt{2}+15\sqrt{6})+42\sqrt{2}-14\sqrt{6}-(14\sqrt{2}-14\sqrt{6})\]
Remove parentheses.
\[-15\sqrt{2}-15\sqrt{6}+42\sqrt{2}-14\sqrt{6}-14\sqrt{2}+14\sqrt{6}\]
Collect like terms.
\[(-15\sqrt{2}+42\sqrt{2}-14\sqrt{2})+(-15\sqrt{6}-14\sqrt{6}+14\sqrt{6})\]
Simplify.
\[13\sqrt{2}-15\sqrt{6}\]
Decimal Form: -18.357570
13*sqrt(2)-15*sqrt(6)
