vscode tailwind css intellisense not working

Solution 1:

Tailwind CSS IntelliSense extension doesn't work until you have a configuration file in your workspace, as its description clearly states!

You'll be fine even if you're just using the CDN, but you have to create a tailwind.config.js file in your project's root directory, containing the defaults at least:

module.exports = {
  content: ["./src/**/*.{html,js}"],
  theme: {
    extend: {},
  },
  plugins: [],
}

Also, and since you're working with Laravel, I guess you need to add Blade files to be recognized by the extension through this VSC setting (in settings.json):

"tailwindCSS.includeLanguages": {
    "blade": "html",
},