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WingedRocker
Irrational number simply means it goes on and on without having a definite ending. So knowing that...

13 has and end

The square root of 4 is 2 which also has an end

0.14 has and end as well,
leaving the square root of 6, which is irrational. It keeps going on and on forever.

Another good example of an irrational number is pi, as it has no end (3.14159265...) Cheers!

Option fourth √6 is correct because it is non-repeating and non-terminating.

What is an irrational number?

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words the irrational number cannot be expressed in the form of p/q form.

The first option is 0.14¯¯¯ which is non-terminating and recurring, hence it is not an irrational number.

The second option is √4

The square root of 4 is 2 which can be expressed in the form of p/q hence it is a rational number.

The third option is 1/3 which is in the form of p/q hence it is a rational number.

The fourth option is √6 which is non-repeating and non-terminating, hence it is an irrational number.

Thus, option fourth √6 is correct because it is non-repeating and non-terminating.

Learn more about the irrational number here:

https://brainly.com/question/17450097

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