The diagonal of a unit square (1x1) is irrational; the circumference of a circle with diameter 1 is irrational. There are many situations when such measures are required. Also, there are far more Irrational Numbers than there are rational, so you would be restricting yourself considerably if irrationals were excluded.
They are irrational numbers!
They are numbers that are infinite
Yes - except that you need to specify ratios of INTEGERS. pi/2 is a ratio of pi and 2 but it is irrational.
An irrational number is a real number that cannot be expressed as a simple fraction, meaning it cannot be written as a ratio of two integers. These numbers have non-repeating, non-terminating decimal representations. Examples of irrational numbers include the square root of 2, pi, and the golden ratio. They are contrasted with rational numbers, which can be expressed as fractions.
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.
properties of irrational numbers
How an irrational number is estimated depends on the nature of the number. The reason for estimating them is that two of the most important numbers in mathematics: pi in geometry and e in calculus, are both irrational. Also, the diagonal of a unit square is of length sqrt(2), an irrational. Irrational numbers crop up everywhere: there are more irrational numbers than there are rational.
No. Irrational numbers are real numbers, therefore it is not imaginary.
Yes, no irrational numbers are whole numbers.
Not necessarily. The sum of two irrational numbers can be rational or irrational.
No, but the majority of real numbers are irrational. The set of real numbers is made up from the disjoint subsets of rational numbers and irrational numbers.
No, because if need be it can be expressed as a fraction whereas irrational numbers can't be expressed as fractions.