Irrational Numbers

It is rational. An irrational number is a number that you cannot define by a fraction or a decimal. Since you wrote it as a decimal, it is rational.

This is an interesting question that has actually been studied with the concept of irrationality measure. Consider a real number x. For a positive number y, there may exist pairs (p, q) of positive integers with q > 1 such that 0 < abs(x - p/q) < 1/qy. As y increases, 1/qy approaches 0.

What we want to consider is those numbers y such that there exist infinitely many pairs (p, q) satisfying the above criteria. Specifically, let z be the least upper bound of the set of all such y. Then z is the irrationality measure of x.

Under this definition, the irrationality of a rational number is 1, the irrationality of an irrational algebraic number (an algebraic number is a number which is a root of a non-zero polynomial with integer coefficients) is 2, and the irrationality of a transcendental number (a number which is not algebraic) is 2 or greater. There exist numbers with infinite irrationality measure, called Liouville numbers.

Rational numbers are sometimes represented in tabular form, e.g. for proofs relating to different infinities.

Irrational and real numbers are not because there is no way to do it.

Pi minus 2, Square root of 3, fourth root of 8, Natural Log of 7, e (base of natural logs), pi squared,.... There are an infinite number of them.

No. If you divide an integer by another integer, you get a rational number, by definition.
13/2 is rational because it is a ratio of two integers.

Yes.

No, because it is simply never ending. So you would not be able to know what it can be divided by.

Probably all mathematicians, from very ancient times.

(N + 5)

Sometimes. The square root of 2 is, but the square root of 9 is not.

square no. Means reapeating the particular no. Twice. For ex. 1* 1equal 1, 4 * 4 equal 16, 7 * 7 equal 49. The no.s 1, 4, 49 are sq. Nos . 2 * 3 equals 6 and 5 * 2 equalls 10 are not a square no. Two identical no are multiplied and tie resultent is called a square no. Any two identical nos are multiplied does not give 14. So...

3*3 = 9 and 4*4=16. There are no integers between 3 and 4 so there are no square numbers between 9 and 16.

pi is the single most important constant in geometry while e is central to calculus.

No, it is not.

You can just round it off. For example, if your number is 8.38572998472654400131... that is equal to approximately 8.4 (if two significant digits is enough for your purposes) or 8.39 (if you prefer 3 significant digits).

whole no

rational. Just remember that a rational number is one that may be formed from a ratio. e.g. -108/2.

yes because its an integer and its a number

Yes. "Pi", "e", the [square root of 2], log(2), cosine(2 radians),

and trillions of other numbers, are irrational and real.

No because it can be expressed as a fraction in the form of 1/3 and all fractions are rational numbers.

Yes

No, it is rational.

A rational number is a number that can be expressed in fractional form.

No because 7 squared equals 49 which is a rational number but the square root of 7 is an irrational number

Whole numbers are always rational.

That's the ratio of 457,925 to 10,000 . That means it's quite rational.