The Nexus Root Toolkit is probably one of the easiest ways to root your Nexus 10. It will download all the files and drivers you need and basically walk you through each part of the process.
This is by far one of the most comprehensive tools I’ve come across for rooting a device, and if you’re squeamish about following all the guides out there yourself, I’d recommend going with this free program and letting it do all the grunt work for you.
You can visit the developer’s page here to download the Nexus Root Toolkit!