Is Nikon D750 and Sigma 18-200mm f/3,5-6,3 DC compatible?

Below you will find your chosen camera and lens. Click on the product name for more information.

Buy	Nikon D750 Released: 2014 Type: Digital SLR Sensor: FX (Full frame) 24 Megapixels 6016 x 4016 pixels
Buy	Sigma 18-200mm f/3,5-6,3 DC Released: 2005 Superzoom Suited for cameras with APS-C sensors Focal Length: 18-200 mm Aperture: f/3,5-6,3

Can you combine these two?

This is the short answer:

No! This combination is not compatible

The camera and lens you have chosen cannot be combined. Here is a longer answer:

APS-C sensor is needed

The camera does not have a APS-C sensor which is needed for this lens.