Prove that 3 minus root 7 is irrational

- Prove that 3 minus root 7 is an irrational number
- Prove that 2 root 3 minus 7 is irrational
- Prove that 3 minus root 7 whole square is an irrational number
- Prove that 3 root 7 minus 5 is an irrational number
- Prove that 5 minus 3 upon 7 root 3 is an irrational number
- Prove that root 2 is irrational
- Square root of 2 is irrational proof by contradiction