Jailbreak is the only supported way to get root access. Jailbreak iPad mini 9.3.5 will remove all the restrictions and limitations that were imposed by Apple. Then you get the freedom to,
Install third-party apps
Remove default apps
Sharing between iOS and android
Download Cydia
Customize your operating system
Get admin freedom
Manage device settings
Increase device performance and there are many more benefits.
iPad mini 1 was originally released with iOS 6.0.1 and you can upgrade it for iOS 9.3.5-9.3.6. Therefore, to jailbreak iPad mini 9.3.5  and above, you have to use a reliable jailbreak tool. As the best solution for you can use the ELYX jailbreak tool rather than using other jailbreak options.