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there can be many Irrational Numbers in between, infact there is infinity different ways,

here are 3

4.66666666666... In fraction is 4 2/3

4.44444444444... In fraction is 4 4/9

4.33333333333... In fraction is 4 1/3

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Note: I am using root(number) for the square root of a number.

To the number 4, add any irrational number that is less than 1, for example root(2) / 2, root(3) / 2, pi / 4, etc.

Another option is to look for square roots between those numbers; the square root of almost any number between 16 and 25 (integer or otherwise) will do, e.g., root(17), root(18), root(16.1), etc. Specifically, if an integer is not a perfect square, its square root is irrational.

Q: What are three irrational numbers between 4 and 5?

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No; it can be expressed as the fraction, or "ratio", of 3/4. Irrational numbers cannot be expressed as a fraction.No

Roots that are irrational are called surds. There are irrational numbers that are not surds since they are not roots of any equation. For example, Pi. Rational roots, such as square root of 4, are not surds.

The square root of 3 is an irrational number

You can add a small irrational number - smaller than the difference - to one. For example, 1 + pi/4.

Rational numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 . . . . . Irrational numbers: square root of (2, or 3, or 5, or 6, or 7, or 8, or 10, or 11, or 12, or 13)

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There are an infinite number of irrational numbers between 2 and 4. See the link below for the definition of irrational numbers. The two most popular irrational numbers between 2 and 4 are pi (3.14159...) and e (2.71828...).

Any number that can't be expessed as a fraction is an irrational number as for example the square root of 4.5

Pi is in that range.

There are an infinite number of them.

An infinite amount! Numbers go on forever!

There are infinitely many irrational numbers between 4 and 6, so the article "the" is used incorrectly. For example, 4.75933201865... is irrational, so is pi + 1 or e + 3.

4*sqrt(2) Rational multiples of irrational numbers are irrational. sqrt(2) is about 1.414, and 5/4 = 1.25 < 1.414... < 1.75 = 7/4 so 4*sqrt(2) is between 5 and 7, and is irrational.

If it is integers, you have -2, -1, 0, 1, 2 and 3. If rational numbers or irrational numbers or real numbers, there are an infinity of them between -3 and 4.

No they are not. The numbers Pi and e are irrational and are not radicals. There are many others.

Not necessarily. The cube roots of 4, 6 and 9 are all irrational (and different). But their product is 6, not just rational, but an integer.

rational numbers can be represented as a ratio of integers such as 1/4 and irrational numbers can NOT. Square root of 2 is an irrational number.

No because they are both rational numbers