Prove that e is an Irrational Number

The number e is irrational as it cannot be written as a ratio of two integers. Its approximated value is 2.72. That is, e ≈ 2.72. So e is an irrational number between 2 and 3. The number e is regarded as a mathematical constant (known as Euler’s number or Napier’s constant). Also, e is … Read more

Is Square Root of a Prime Number Rational?

Is root of a prime number rational? No, the square root of a prime number is not a rational number. Actually, the square root of a prime number is irrational. But before we answer this question, we know about irrational numbers and prime numbers. Irrational number: An irrational number is a real number that cannot be … Read more

Why is root 2 an irrational number? [Solved]

Is root 2 rational? No, root 2 is not a rational number? Before we answer this, let us first understand what a rational number is. A real number is called a rational number if it can be written as p/q where both p and q≠0 are integers with gcd(p, q)=1. Otherwise, that number is called … Read more