Prove root 2 minus root 3 is irrational

- Prove that root 3 minus root 2 and root 3 + root 5 is irrational
- Prove that 5 root 2 minus root 3 is an irrational number
- Prove that under root 2 minus under root 3 is irrational number
- Prove that 1 by 2 minus root 3 is irrational
- Prove that 7 minus 2 root 3 is irrational
- Prove that 2 minus root 3 is irrational given that root 3 is irrational
- Prove that root 2 is irrational
- Square root of 2 is irrational proof by contradiction
- √2 is irrational proof class 10