Pls help me with this. Show your work and solve that is it.

Answer:
[tex]5\sqrt{18}-\sqrt{32} \\=5 \sqrt{3 \times 3 \times 2} - \sqrt{2 \times 2 \times 2 \times 2 \times 2} \\ = 5 \times 3 \times \sqrt{2} - 2 \times 2 \times \sqrt{2} \\ = 15 \sqrt{2} - 4 \sqrt{2} \\ = \boxed{11 \sqrt{2} }[/tex]