Prove that 2 root 5 is a rational number

- Prove that 3 2 root 5 is a rational number
- Prove that 2 root 3 upon 5 is a rational number
- Prove that 2 3 root 5 is not a rational number
- Prove that 4 5 root 2 is a rational number
- Prove that 7 root 2 by 5 is not a rational number
- Prove that 2 5 root 3 is an irrational number given that root 3 is a rational number
- Prove that root 2 is irrational
- Square root of 2 is irrational proof by contradiction