Not necessarily. The sum of two irrational numbers can be rational or irrational.
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.
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
you can't FIGURE OUT THE SQUARE OF THE IRRATIONAL NUMBER
It may be a rational or an irrational number.
Not necessarily. The sum of two irrational numbers can be rational or irrational.
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.
The sum of two irrational numbers may be rational, or irrational.
It is proven that between two irrational numbers there's an irrational number. There's no method, you just know you can find the number.
Yes. For example: pi - pi = 0
In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.
In between any two rational numbers there is an irrational number. In between any two Irrational Numbers there is a rational number.
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
you can't FIGURE OUT THE SQUARE OF THE IRRATIONAL NUMBER
It may be a rational or an irrational number.
Yes, you can.
Do you mean can we subtract one rational number from another rational number and get an irrational number as the difference? I'm not a mathematician, but I suspect strongly the answer is no. Wouldn't this imply that we can sometimes add a rational number to an irrational one, and get a rational number as a sum? That doesn't seem possible.Ans 2.It isn't possible. Proof :-Given two rational numbers, multiply the two denominators.Express each rational in terms of the common multiple.Algebraically add the numerators of the new rational numbers.Put this over the common multiple; there's the result expressed as a ratio.