Are the square roots of all prime numbers irrational?

Sal proves that the square root of any prime number must be an irrational number. For example, because of this proof we can quickly determine that √3, √5, √7, or √11 are irrational numbers. read more

Sal proves that the square root of any prime number must be an irrational number. For example, because of this proof we can quickly determine that √3, √5, √7, or √11 are irrational numbers. Created by Sal Khan. read more

Therefore [math]\sqrt{x}[/math] is rational only when it is an integer, and x is a square number. Since no prime is a square number then the square roots of all prime numbers must be irrational. read more