Prove that root 2 minus root 7 is irrational

- Prove that root 2 minus root 7 is an irrational number
- Prove that 2 root 3 minus 7 is irrational
- Prove that 2 root 7 minus 1 is an irrational number given that root 7 is an irrational number
- Prove that root 2 is irrational
- Square root of 2 is irrational proof by contradiction
- √2 is irrational proof class 10