Ask a New Question
Menu

Which are Rational or irrational numbers?

Pi,
-√9,
0,
3√25,
5/4,
-√2/2

1 answer

Let's classify the given numbers as rational or irrational:

  1. π (Pi): This is an irrational number because it cannot be expressed as a fraction of two integers.

  2. -√9: The square root of 9 is 3, so -√9 = -3, which is a rational number (it can be expressed as -3/1).

  3. 0: This is a rational number (it can be expressed as 0/1).

  4. 3√25: The square root of 25 is 5, so 3√25 = 3 * 5 = 15, which is a rational number (15 can be expressed as 15/1).

  5. 5/4: This is a rational number because it is a fraction of two integers.

  6. -√2/2: The square root of 2 is an irrational number, and when divided by 2, it remains irrational. Therefore, -√2/2 is also an irrational number.

In summary:

  • Irrational numbers: π, -√2/2
  • Rational numbers: -√9, 0, 3√25, 5/4