[tex]2 \sqrt{2000} + 4 \sqrt{5000} = \\ \\
=2 \sqrt{400 \times 5} + 4 \sqrt{2500 \times 2} = \\ \\
=2 \times \sqrt{400} \times \sqrt{5} + 4\times \sqrt{2500} \times \sqrt{2} = \\ \\
=2 \times 20 \times \sqrt{5} + 4\times 50 \times \sqrt{2} = \\ \\
=\boxed{40 \sqrt{5} + 200 \sqrt{2} }[/tex]
