If your laptop has an HDMI port, you simply need an HDMI cable to connect the two. Practically any TV from the last 10 years will have an HDMI port, and this is the primary way to get video and audio from an external source such as a DVD player or set-top box. To help you, I'm listing all of the ways that you can achieve your goal (HDMI, VGA and mirroring using a Chromecast), explaining all of the problems that you might face and, most importantly, how to fix them Using HDMI So, the alternative methods could be the best bet.
It does mean that your laptop has to sit quite close to the TV and you need the right outputs on your computer and right inputs on your TV. The easiest way is to hook your laptop up via a cable, turning your TV into a giant monitor. So, how do you hook your laptop up in the most convenient way? This shift to digital media has been brilliant, giving us access to everything we could want from our computers, but there's be times when you don't want to look at everything on the small screen of the laptop, but want to view everything on your big-screen TV, particularly if your don't have a smart TV with the latest apps. Likewise, if I asked how you got access to new music and watched TV and films, the answer would most likely be via a streaming service on a computer. If I asked you where you keep your photos, videos and music, the answer, for most people, would be on the computer.