maths- rational no.

posted by .

find two irrational numbers between 2.5 and 4.5

  • maths- rational no. -

    2.5 = 5/2
    4.5 = 9/2

    so, a short list of rational numbers between the two might contain

    6/2 7/2 8/2

    Expressing them as 6ths,
    2.5 = 15/6
    4.5 = 27/6
    Now there are a lot more possibilities, all multiples of 1/6

  • maths- rational no. -

    Oops! I missed the "irrational" part!

    Since
    2.5^2 = 6.25
    4.5^2 = 20.25

    Pick any integers between those, except 9 and 16, which are perfect squares.

    √7 √8 √10 ... √20
    are all irrational.

    Since
    2.5^3 = 15.625
    4.5^3 = 91.125

    There are lots of possibilities there, excluding 27 and 64:

    ∛16 ∛17 ... ∛91
    are all irrational

    You can pick non-integer values, as long as they don't turn out to be perfect powers.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    What are irrational, rational, and natural numbers?
  2. irrational numbers?!

    what are rational and irrational numbers?
  3. 9th grade

    Name the set(s) of numbers to which 1.68 belongs. a. rational numbers b. natural numbers, whole numbers, integers, rational numbers c. rational numbers, irrational numbers d. none of the above my answer a)rational numbers
  4. Math

    Are there more rational or irrational numbers?
  5. math

    What is the best sequence of names to identify this set of numbers?
  6. math- please help

    What is the best sequence of names to identify this set of numbers?
  7. math

    Which statement is true? A. All irrational numbers are also rational numbers. B. Half of the irrational numbers are also rational numbers. C. One-third of the irrational numbers are also rational numbers D. Irrational numbers cannot
  8. Math Check Pleas Thank You

    1. Which of the following numbers is an example of an integer?
  9. Math

    1. Is square root of negative 10 irrational or rational?
  10. Algebra

    Which of the following statements is false?

More Similar Questions