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The set of Irrational Numbers is infinitely dense. As a result there are infinitely many irrational numbers between any two numbers. So, if any irrational number, x, laid claim to be the closest irrational number to 3, it is possible to find infinitely many irrational numbers between x and 3. Consequently, the claim cannot be valid.

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โˆ™ 2016-12-18 18:41:45
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Q: What number closest to 3 that is irrational?
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Related questions

What are the two closest integers for each irrational number?

They are the integer part of the irrational number and the successor to that integer. Thus, for pi, the two integers are 3 and 4.


What irrational number is closest to 10?

There is no such number. Between any two irrational numbers there are infinitely many irrational numbers. So, the claim that x is the irrational number closest to ten can be demolished by the fact that there are infinitely many irrational numbers between x and 10 (or 10 and x).


What is four irrational numbers closest to 3 on the number line?

e, √8, pi, √10


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Will any irrational number divided by an irrational number be irrational?

No.3*sqrt(2) and sqrt(2) are irrational. But their quotient is 3, which is rational.


What are the two closest integers for the irrational number 19?

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Any irrational number added to 0.5 will produce an irrational number.


Is the square root of 3 an irrational number?

YES.... squre root of 3 is in irrational number..


What number produces an irrational number when added to 3 4?

Any irrational number will do.


What are the two closest integers for the irrational number 50?

First - 50 is a rational number, not an irrational number since it can be represented as a ratio of integers, i.e. 50/1 With that said: the two integers closest to it are 49 and 51


Is 3 a irrational number?

No, 3 is a rational number. Pi and the square root of 2 are irrational numbers.


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No, -3 is an integer.


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No -3 is not an irrational number


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The square root of 3 is an irrational number


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Which number is closest to the square root of 240?

The square root of 240 is irrational; the closest number depends upon how many decimal places you want. If you want the closest whole number then: √240 = 15.49193... → closest whole number is 15.


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The number 3 is a rational number (as is any integer).


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3/8 is rational, it can't be irrational.


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Can an irrational number divided by an irrational number equals an irrational number?

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