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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).

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There is no such number. Nor for that matter, is there a rational number (not equal to 10) that is closest to 10.

Q: What irrational number is closest to 10?

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6.000........

A non-zero rational number (10) multiplied by an irrational number (pi) is always irrational.

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

Irrational numbers are infinitely dense. That is to say, between any two irrational (or rational) numbers there is an infinite number of irrational numbers. So, for any irrational number close to 6 it is always possible to find another that is closer; and then another that is even closer; and then another that is even closer that that, ...

No, it is 1.3.

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e, √8, pi, √10

6.000........

A non-zero rational number (10) multiplied by an irrational number (pi) is always irrational.

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.

No. An irrational number is one that cannot be written as a fraction. 20/2 is a fraction that equals 10, so 10 is rational. √10 would be irrational, though.■

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

18 and 20

Any number that can be expressed as a fraction is a rational number otherwise it is an 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.

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.

Irrational numbers are infinitely dense. Between any two numbers, there are infinitely many irrational numbers. So if it was claimed that some irrational, x, was the closest irrational to 6, it is possible to find an infinite number of irrationals between 6 and x. Each one of these infinite number of irrationals would be closer to 6 than x. So the search for the nearest irrational must fail.

No