#### Answer

$\sqrt6-6\sqrt{2}+\sqrt{3}-6$

#### Work Step by Step

$(\sqrt{2}+1)(\sqrt{3}-6)$
Use the FOIL method to multiply the binomial.
Multiply the First terms, the Outside terms, the Inside terms, and the Last terms.
$(\sqrt{2}\times\sqrt{3})+(-6\times\sqrt2)+(1\times\sqrt3)+(1\times(-6))$
Simplify.
$\sqrt6-6\sqrt{2}+\sqrt{3}-6$