Leaderboard
Wiki User
Answered 2008-07-29 05:21:45
No one has ever shown that 2 is an irrational number because it is rational.
Your Answer
Still have questions?
Related Questions
Is there a proof to show that if you multiply an irrational number times an irrational number you get a rational number?
There cannot be a proof since your assertion is not necessarily true. sqrt(2)*sqrt(3) = sqrt(6). All three are irrational numbers.
How can the pythagorean spiral be used to show the exact value of an irrational number?
It cannot. It can only show square roots which represent only a small proportion of irrational numbers.
Is the product of three irrational numbers always an irrational number?
No. The easiest counter-example to show that the product of two irrational numbers can be a rational number is that the product of √2 and √2 is 2. Likewise, the cube root of 2 is also an irrational number, but the product of 3√2, 3√2 and 3√2 is 2.
Is the set of irrational numbers closed under subtraction?
No; here's a counterexample to show that the set of irrational numbers is NOT closed under subtraction: pi - pi = 0. pi is an irrational number. If you subtract it from itself, you get zero, which is a rational number. Closure would require that the difference(answer) be an irrational number as well, which it isn't. Therefore the set of irrational numbers is NOT closed under subtraction.
Is decimal 1111 a rational or irrational number show your work?
.1111 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Who was the first person to appear on the Ellen degeneres show?
Ellen Degeneres was the first person to be on the show.
Is 0 a rational number or an irrational number?
zero technically isn't a number. it represents the absence of a number. It's nothing, and it's just used to show when there isn't any number
How do you express irrational number on a number line?
Simply plot the irrational number at it's approximate location on the number line and label the irrational number. For example, if you were to plot pi on the number line, you would plot it at about 3.14 and label it with "π" (the pi symbol, if it doesn't show up) Another example is if you want to plot the square root of 2 on the number line. You would plot it at around 1.414 and label it with "√2"
Pi is an irrational number. How do you show pi on the number line?
It is very had to show that but you could approximate it with 22/7. (or just round it to 3.14159265) 22/7=3.142857142857... pi=3.14159265...
On an answer to a question on WikiAnswers does the contributor trust show the number of recommendations for the person who made the first answer or the person who made the last edit?
Yes. Contributor trust is the number of recommendations that a contributor has received.
How do you show your work for the square root of 32 round to the nearest hundredths?
It is an irrational number and rounds to 5.66 to the nearest hundredths
How do you show that there are irrational numbers between every rational number?
"Every rational number" is a single value and there cannot be anything between only one thing!
How to prove that Assuming 5 is irrational how would you prove that 5 is irrational?
Root signs didn't show up
What do you do to check if a number rational or irrational number?
There is no simple method. If you can write the number as a ratio of two integers, in the form p/q where q>0, then the number is rational. But it is often very difficult to show that such a representation is not possible.
Show that the sum of rational no with an irrational no is always irrational?
Suppose x is a rational number and y is an irrational number.Let x + y = z, and assume that z is a rational number.The set of rational number is a group.This implies that since x is rational, -x is rational [invertibility].Then, since z and -x are rational, z - x must be rational [closure].But z - x = y which implies that y is rational.That contradicts the fact that y is an irrational number. The contradiction implies that the assumption [that z is rational] is incorrect.Thus, the sum of a rational number x and an irrational number y cannot be rational.
If you take the square root of an irrational number.Will it be irrational too?
Certainly. Otherwise, there would be a rational number whose square was an irrational number; that is not possible. To show this, let p/q be any rational number, where p and q are integers. Then, the square of p/q is (p^2)/(q^2). Since p^2 and q^2 must both be integers, their quotient is, by definition, a rational number. Thus, the square of every rational number is itself rational.
Who was the first person to show their belly button on television?
Cher was the first person to have their belly button shown on tv.
Who is the first person to watch Winx Club?
There is no information available to know who was literally the first person to watch the show.
What is iCarlys phone mobile number?
iCarly is a show, not a person, so there is no mobile phone number.
Are whole numbers rational show why or why not?
yes because you can always put a whole number over something (the definition of an irrational number being that it can not go over something) for example you can say 1/1 which proves that 1 is a rational number.
Who was the person who introduced the world to The Simpsons tv show?
The Simpsons first aired on the Tracy Ulman show.
Who was the first person to perform on the Ed Sullivan Show when the show went to color tv?
Elvis Presley
What was the first show that had a gay person in it?
The first one I can remember is "Soap" played by Billy Crystal.
Who is the first person to whom Odysseus show his true identity?
Telemachus.
Is -2.2422422242222422224 rational or irrational?
Answer: -2.2422422242222422224 is rational.Rational numbers are numbers that can be expressed as the division of two integers, the divisor not being zero. -2.2422422242222422224 can be expressed as -22422422242222422224 divided by 10000000000000000000.Answer:If the number appears exactly as you wrote it in your question, then the number is rational as explained in the first answer.However, I wonder if you might have left off the three dot "continuation symbol" and a "2". Irrational numbers cannot be properly expressed in decimal form (the decimal representation goes on forever without repeating), so sometimes we write the first few digits and put an ellipsis at the end to show they go on forever. Examples would bepi = 3.14159...e = 2.71828...If you meant to write -2.24224222422224222224... then the number is (probably) meant to be irrational.
