They were known as incommensurable ratios.
No. The sum of an irrational number and any other [real] number is irrational.
Not if the rational number is zero. In all other cases, the product is irrational.
All real numbers are irrational. For example, Pi is an irrational number that is a real number. Other irrational numbers can be the square root of an imperfect square.
No whole number is irrational. They are all expressible by some other whole numbers such that p/q = (the number), so, no whole number is irrational.
The proposition is not true.pi and -pi are both irrational. But their sum, = 0, is rational.
Because like any other irrational number it can't be expressed as a fraction
Since pi is irrational, its product with any other number is also irrational. The only exception is a multiple of its own reciprocal.
One, and e.
An irrational number.
The product of two irrational numbers may be rational or irrational. For example, sqrt(2) is irrational, and sqrt(2)*sqrt(2) = 2, a rational number. On the other hand, (2^(1/4)) * (2^(1/4)) = 2^(1/2) = sqrt(2), so here two irrational numbers multiply to give an irrational number.
The sum of a rational and irrational number must be an irrational number.
17 is a prime number with no factors other than itself and 1 therefore minus square root of 17 is an irrational number.