Answer
$9\sqrt{3}$
Work Step by Step
Simplify each radical, when needed, to have:
$=4\sqrt{3}-5\sqrt{4(3)} + 3\sqrt{25(3)}
\\=4\sqrt{3} - 5\cdot 2\sqrt{3} + 3\cdot 5\sqrt{3}
\\=4\sqrt{3} - 10\sqrt{3} + 15\sqrt{3}$
Combine like terms to have:
$=(4-10+15)\sqrt{3}
\\=9\sqrt{3}$