Math

what are irrational numbers?

  1. 👍 0
  2. 👎 0
  3. 👁 32
asked by Jason

  1. Irrational numbers are numbers that cannot be written as a fraction. E.g. sqrt(2) cannot be a fraction p/q:

    sqrt(2) = p/q --->

    p^2/q^2 = 2 --->

    p^2 = 2 q^2

    Factor both sides in prime factors. The number p has a certain number of factors, p^2 has double that number, so the left hand side contains an even number of prime factors. By the same reasoning q^2 also contains an even number of prime factors, so 2 q^2 contains an odd number of prime factors as 2 is a prime number. But this means that p^2 can never equal 2 q^2!

    1. 👍 0
    2. 👎 0
    posted by Count Iblis

  2. HURRY PLEASE

    1. 👍 0
    2. 👎 0
    posted by Jason

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    Which statements are true for irrational numbers written in decimal form? A. Irrational numbers are nonterminating. B. Irrational numbers are repeating. C. Irrational numbers are nonrepeating. D. Irrational numbers are

    asked by Claire on April 19, 2016

  2. irrational numbers?!

    what are rational and irrational numbers?? i know that irrational numbers are numbers that cannot be expressed as a fraction, but i'm still confused. there is this question: which of the following are irrational numbers: √2,

    asked by Sanchia on June 15, 2009

  3. 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

    asked by Anonymous on September 26, 2014

  4. Algebra

    28. Use the Distributive Property to simplify x(4x^2 + x + 4) Is it 4x^3 + x^2 + 4x? 42. To which set of numbers does 0 not belong? 46. Pi belongs to which group of real numbers? a. Odd numbers b. rational numbers c. irrational

    asked by mysterychicken on March 31, 2010

  5. Math

    What are irrational, rational, and natural numbers? A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the

    asked by John Christian on January 29, 2007

  6. Math

    Are there more rational or irrational numbers? I am thinking irrational, because the product of a rational and irrational number is irrational. Is this enough of a reason to prove it?

    asked by Chuck on January 28, 2013

  7. math

    hi i need help with rational and irrational numbers. i just need to know the IRRATIONAL numbers. 55.0662066206620662... is this Irrational? 0.0000000500050005... Irrational? 0.004872368777712 Rational?

    asked by Logan on September 17, 2008

  8. THE HOMEWORK IS DUE TODAY- HELP! HELP! PLEASE

    There exist irrational numbers a and b so that a^b is rational. look at the numbers √2^√2 and (√2^√2)^√2 a) use similar idea to prove that there exists a rational number a and an irrational number b so that a^b is

    asked by EXCEL on February 27, 2014

  9. please help with math

    There exist irrational numbers a and b so that a^b is rational. look at the numbers √2^√2 and (√2^√2)^√2 a) use similar idea to prove that there exists a rational number a and an irrational number b so that a^b is

    asked by excel on February 25, 2014

  10. math

    There exist irrational numbers a and b so that a^b is rational. look at the numbers √2^√2 and (√2^√2)^√2 a) use similar idea to prove that there exists a rational number a and an irrational number b so that a^b is

    asked by excel on February 28, 2014

  11. math

    For each number, circle the subset(s) of the real numbers that the number belong to. 26) √49 rational, integers, whole numbers, natural numbers, irrational 27) −√81 rational, integers, whole numbers, natural numbers,

    asked by ..................................... on September 20, 2018

More Similar Questions