The basic definition is that a rational number can be expressed as a fraction, with integers in the numerator and the denominator; if such a representation is not possible, you have an irrational number. For example, 1/3, 5/2 and 7 (which is equal to 7/1) are rational numbers; the square root of 2, pi, and e are irrational, because it has been proven that none of them can be expressed as a fraction with integers.
An irrational number.
When added to a rational number, any irrational number will produce an irrational number.also, when added to an irrational number, any rational number will produce an irrational number.
It is not an irrational number!
Yes, it will always be irrational.
Next to any rational number is an irrational number, but next to an irrational number can be either a rational number or an irrational number, but it is infinitely more likely to be an irrational number (as between any two rational numbers are an infinity of irrational numbers).
An irrational number.
A positive real number. It can be irrational or rational, even integer.
A positive real number. It can be irrational or rational, even integer.
An irrational number.
No. The sum of an irrational number and any other [real] number is irrational.
The sum of a rational and irrational number must be an irrational number.
No, 3.56 is not an irrational number. 3.56 is rational.
rational * irrational = irrational.
-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.
A negative irrational number can be thought of as an irrational number multiplied by -1, or an irrational number with a minus sign in front of it.
At least one of the factors has to be irrational.* An irrational number times ANY number (except zero) is irrational. * The product of two irrational numbers can be either rational or irrational.
Any irrational number, when multiplied by 0.5 will give an irrational number.