Answer
$\color{blue}{11\sqrt{2k}}$
Work Step by Step
Simplify each radical.
Factor the radicand so that one factor is a perfect square, then bring out the square root of the perfect square factor to obtain:
$=4\sqrt{9(2k)}-\sqrt{36(2k)} +\sqrt{25(2k)}
\\=4\cdot 3\sqrt{2k}-6\sqrt{2k}+5\sqrt{2k}
\\=12\sqrt{2k}-6\sqrt{2k}+5\sqrt{2k}$
Combine like terms to obtain:
$=(12-6+5)\sqrt{2k}
\\=\color{blue}{11\sqrt{2k}}$
