I have installed Homestead with
vagrant box add laravel/homestead vagrant init vagrant up
I can login with user vagrant:vagrant, but I can't login as root!
root:root and root:vagrant is wrong password.
I have solution: there is no root password, because user "vagrant" can run sudo -s bash.
For me, I was able to type sudo su and then I became root.
See https://laracasts.com/discuss/channels/laravel/root-password-for-homestead-not-mysql-root-password/replies/107601 and https://stackoverflow.com/a/28097781/470749
According to the docs, the vagrant user default password is just vagrant.
This user should be setup with the insecure keypair that Vagrant uses as a default to attempt to SSH. Also, even though Vagrant uses key-based authentication by default, it is a general convention to set the password for the "vagrant" user to "vagrant". This lets people login as that user manually if they need to.
The username and password for both databases is homestead / secret. Follow the section "Connecting to Databases" at https://laravel.com/docs/8.x/homestead#connecting-to-databases
