Answer
$-\sqrt2 + 2\sqrt3$
Work Step by Step
RECALL:
The distributive property states that for any real numbers a, b, and c:
$ac+bc=(a+b)c$
Regroup the terms to obtain:
$=(8\sqrt2-9\sqrt2)+(6\sqrt3-4\sqrt3)$
Use the distributive property to simplify:
$=(8-9)\sqrt2 + (6-4)\sqrt3
\\=(-1)\sqrt2 + 2\sqrt3
\\=-\sqrt2 + 2\sqrt3$
