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A real number is a number that is somewhere on a number line, so any number on a number line that isn't a rational number is irrational. The square root of 2 is an irrational number because it can't be written as a ratio of two integers. ... Other irrational numbers include the square root of 3, the square root of 5, pi,
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mathforum.org/dr.math/faq/faq.integers.html
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For many centuries prior to the actual proof, mathematicians had thought that pi was an irrational number. The first attempt at a proof was by Johaan Heinrich Lambert in 1761. Through a complex method he proved that if x is rational, tan(x) must be irrational.
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library.thinkquest.org/C0110195/what/irrational.html
library.thinkquest.org/C0110195/what/irrational.html
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Information on links for Pi Day. ... 2009 21st Annual Pi Day Celebration page ... Pi Day Activity Schedule...
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www.exploratorium.edu/pi/index.html
www.exploratorium.edu/pi/index.html
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Since Pi cannot be expressed as ratio of two numbers, it is not a rational number.
http://www.blurtit.com/q827905.html
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Pi is an irrational number because it cannot be expressed as a fraction x/y where x and y are integers (whole numbers). Put simply since pi has no end (it goes on forever), it is irrational.
http://wiki.answers.com/Q/Is_pi_an_irrational_or_a_rati...
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Author: mooregj What is the proof that pi is an irrational number? Response #: 1 of 2 ... Rearrange and square and we have p^2 = 2*q^2. Therefore p is even, and equal to 2*r. Now we have 4*r^2 = 2*q^2, and q turns out to have to be even, which is a contradiction. Therefore, the premise that sqrt(2) is rational is false.
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www.newton.dep.anl.gov/newton/askasci/1995/math/MATH072...
www.newton.dep.anl.gov/newton/askasci/1995/math/MATH072.HTM
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Might it repeat at some point?" C.M.H., Cranford, N.J. * * * Dear Mr. H.: If the number pi were rational, meaning capable of being ex- pressed as a fraction of two integers, ... Pi is not merely irrational, but also transcendental, that is, it cannot be the root of an algebraic equation with a finite number of terms. However,
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www.fortfreedom.org/s09.htm
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Since both (10^(N+1)) and (M*10+A) for A between -5 and 5 are integers, the (N+1)-digit approximation of pi is also rational. One can also see that adding one digit to the decimal representation of a rational number, without loss of generality, does not make an irrational number.
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webonastick.com/pi/
webonastick.com/pi/
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Rational and irrational numbers definitions, examples, and more. ... All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction.
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www.factmonster.com/ipka/A0876704.html
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