For an ordinary usage scenario, we will try to force your Linux Mint to use Google Public DNS:

• Primary DNS resolver: 8.8.8.8 (IPv4)
• Secondary DNS resolver: 8.8.4.4 (IPv4)

You can do that relatively simple, like this:

1. Left click on your Wifi/LAN icon:

   

2. From the menu click on Network Connections:

   

3. Double click on the corresponding WiFi/LAN:

   

4. In the connection settings, go to the IPv4 Settings tab:

   

5. Change the Method to DHCP Addresses only, and fill in the mentioned DNS servers:

   

6. Hit Save, and turn off/on your WiFi/LAN link.

Finally, just to confirm our little experiment has been completed successfully, copy-paste to your terminal:

( nmcli dev list || nmcli dev show ) 2>/dev/null | grep DNS

to show which DNS you are using now:

IP4.DNS[1]:                             8.8.8.8
IP4.DNS[2]:                             8.8.4.4

Now try to ping some domain name.

For an ordinary testing scenario, we will try to force your Linux Mint to use Google Public DNS:

• Primary DNS resolver: 8.8.8.8 (IPv4)
• Secondary DNS resolver: 8.8.4.4 (IPv4)

You can do that relatively simple, like this:

1. Left click on your Wifi/LAN icon:

   

2. From the menu click on Network Connections:

   

3. Double click on the corresponding WiFi/LAN:

   

4. In the connection settings, go to the IPv4 Settings tab:

   

5. Change the Method to DHCP Addresses only, and fill in the mentioned DNS servers:

   

6. Hit Save, and turn off/on your WiFi/LAN link.

Finally, just to confirm our little experiment has been completed successfully, copy-paste to your terminal:

( nmcli dev list || nmcli dev show ) 2>/dev/null | grep DNS

to show which DNS you are using now:

IP4.DNS[1]:                             8.8.8.8
IP4.DNS[2]:                             8.8.4.4

Now try to ping some domain name.

Disclaimer

I hereby directly recommended the use of a Google product, which I do not use myself or recommend to others.

This answer is only for testing purposes. I do not recommend these DNS resolvers to my colleagues. If need be said one example for all, I would recommend 1.1.1.1 Cloudflare DNS service with addresses:

IPv4

• Primary:

  1.1.1.1
  

• Secondary:

  1.0.0.1
  

IPv6

• Primary:

  2606:4700:4700::1111
  

• Secondary:

  2606:4700:4700::1001
  

Cloudflare DNS resolvers are privacy-focused and even more secure in a sense. More information here.

I further decline that there would be any affiliation between me and mentioned companies.

For an ordinary usage scenario, we will try to force your Linux Mint to use Google Public DNS:

• Primary DNS resolver: 8.8.8.8 (IPv4)
• Secondary DNS resolver: 8.8.4.4 (IPv4)

You can do that relatively simple, like this:

1. Left click on your Wifi/LAN icon:

   

2. From the menu click on Network Connections:

   

3. Double click on the corresponding WiFi/LAN:

   

4. In the connection settings, go to the IPv4 Settings tab:

   

5. Change the Method to DHCP Addresses only:

   

6. Hit Save, and turn off/on your WiFi/LAN link.

Finally, just to confirm our little experiment has been completed successfully, copy-paste to your terminal:

( nmcli dev list || nmcli dev show ) 2>/dev/null | grep DNS

to show which DNS you are using now:

IP4.DNS[1]:                             8.8.8.8
IP4.DNS[2]:                             8.8.4.4

Now try to ping some domain name.

For an ordinary usage scenario, we will try to force your Linux Mint to use Google Public DNS:

• Primary DNS resolver: 8.8.8.8 (IPv4)
• Secondary DNS resolver: 8.8.4.4 (IPv4)

You can do that relatively simple, like this:

1. Left click on your Wifi/LAN icon:

   

2. From the menu click on Network Connections:

   

3. Double click on the corresponding WiFi/LAN:

   

4. In the connection settings, go to the IPv4 Settings tab:

   

5. Change the Method to DHCP Addresses only, and fill in the mentioned DNS servers:

   

6. Hit Save, and turn off/on your WiFi/LAN link.

Finally, just to confirm our little experiment has been completed successfully, copy-paste to your terminal:

( nmcli dev list || nmcli dev show ) 2>/dev/null | grep DNS

to show which DNS you are using now:

IP4.DNS[1]:                             8.8.8.8
IP4.DNS[2]:                             8.8.4.4

Now try to ping some domain name.