the group of all rational and irrational number is called...........
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real number
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RATIONAL NUMBERS-
The group of rational numbers, also called the additive group of rational numbers, is denoted as , and is defined as follows: It is the group whose elements are rational numbers, the group operation is addition of rational numbers, the identity element is zero, and the inverse is the negative.
IRRATIONAL NUMBER-
It is its own group. Irrational numbers are any number which can not be written as the quotient (division) of two integers, numbers such as pi, equal to 3.14159... (with no terminating digit). The square root of any whole number other than the square of an integer (0, 1, 4, 9, 16 ...) is irrational
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