Q: Is the sum of e and Pi irrational or rational?

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Yes. Example: pi - pi = 0.You can even subtract two different irrational numbers to get a rational number.For example: e - (e - 1) = 1 or Φ - (1/Φ) = 1.

If it would never end, then it is irrational e.g. 10/3 = 3.33333333... etc.. if it ends it's rational e.g. 1000/8 = 125 other irrational numbers: pi, e

5, -7.986543, 37/91, sqrt(64), 193 are all rational. sqrt(2), pi, e, cuberoot(32) are all irrational.

There are very many uses for irrational numbers. A square, whose sides are a rational number, will have a diagonal of irrational length. The diagonals of most rectangles, with rational sides, will be irrational. The circumference and area of a circle (or ellipse) is related to pi, an irrational number. In the same way that pi is central to geometry, another irrational number, e, is fundamental to advanced calculus.

No it is rational because 0.3 is equal to 3/10, both integers. Examples of irrational numbers are pi, e, or sqrt(2).

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example for sum of rational numbers is 1/3 + 1/5 Example for sum of irrationals is Pi + e where e is is base of natural log Another is square root of 2 + square root of 3.

A rational number is able to be represented as a ratio of polynomials. pi/e is a ratio of irrational numbers, neither of which can be represented as a ratio of polynomials, and so I would conclude that pi/e is not rational. But it's a good question, because what if two irrational numbers could cancel out their irrationality, like two negative numbers! A quotient of two irrational numbers can be a rational number. Trivial example 2pi/pi = 2.

Yes.An example:1 + 2^(0.5) is an irrational number,1 -(2^(0.5)) is also a irrational number.(1 + 2^(0.5)) + (1- 2^(0.5)) = 22 is a rational number.Therefore the sum of two irrational numbers can equal a rational number.But this is not the question. Can you add two irrational numbers to get another irrational number. Yes. Almost all additions of two irrational numbers result in another irrational number. For instance pi (3.141...) and e (2.718...) are both irrational, and so is their sum. In some sense you have to work quite hard to make the sum not irrational (i.e. rational) because the two decimal expansions have to conspire together either to cancel out or to give a repeating decimal.Actually, pi+e may or may not be irrational. This hasn't been proved either way. See: http://en.wikipedia.org/wiki/Irrational_number (under "Open Questions")Yes. For example, pi + (-pi) = 0.any number that is a non-terminating decimal is called an irrational number.

Yes. Example: pi - pi = 0.You can even subtract two different irrational numbers to get a rational number.For example: e - (e - 1) = 1 or Φ - (1/Φ) = 1.

If it would never end, then it is irrational e.g. 10/3 = 3.33333333... etc.. if it ends it's rational e.g. 1000/8 = 125 other irrational numbers: pi, e

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

5, -7.986543, 37/91, sqrt(64), 193 are all rational. sqrt(2), pi, e, cuberoot(32) are all irrational.

e^pi ~ 23.14069.............., not rational

There are many common numbers in mathematics which are not rational. Two of the most important numbers in mathematics are pi and e: both are irrational.

No, the result is always an irrational number. In more advanced math it is possible to add an infinite amount of rational numbers by way of Taylor Series and get an irrational number. This is how numbers like "Pi" and "e" are derived.

There are very many uses for irrational numbers. A square, whose sides are a rational number, will have a diagonal of irrational length. The diagonals of most rectangles, with rational sides, will be irrational. The circumference and area of a circle (or ellipse) is related to pi, an irrational number. In the same way that pi is central to geometry, another irrational number, e, is fundamental to advanced calculus.

No. "Pi", "e", and the square root of 2 are all real and irrational.