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Is the set of irrational numbers a group under the operation of multiplication?
Wiki User
∙ 11y ago
No.
It is not even closed. sqrt(3)*sqrt(3) = 3 - which is rational.
Wiki User
∙ 11y ago
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What group of mathematicians first discovered the irrational numbers?
Pythogora
Of integers real numbers rational or irrational numbers what group includes all others?
real
What is inverse in math terms?
In maths, the term there are two main meanings to the word inverse - both of which are very closely related. Simple answer in the last three paragraphs. A binary operation, defined on a group of numbers is a rule that tells you how to combine two numbers to get a third. Each binary operations (@) has an identity element, generally denoted by i, such that: x@i = x = i@x for all x in the group. Then, for each element x, there is an element in the group, denoted by x-1 (or the inverse of x) such that x@x-1 = i = x-1@x All this may sound rather technical. So here it is in simpler terms: two everyday examples of binary operation are addition and multiplication. The identity for addition is 0. The identity for multiplication is 1. The inverse of x, under addition, is -x. Under multiplication it is 1/x (not defined for x = 0). These give rise to inverse binary operations: subtraction for addition and division for multiplication.
Which group of sets does the number square root of 30 belong to?
To any set that contains it! It belongs to {sqrt(30)}, or {45, sqrt(30), pi, -3/7}, or irrational numbers, or real numbers between -6 and 6, or all real numbers or complex numbers, etc.
How do you work out the mean of a group of numbers?
By adding up all the numbers in the group and dividing by the number of numbers in the group.
Why the set of rationals does not form a group wrt multiplication?
All the elements in a group must be invertible with respect to the operation. The element 0, which belongs to the set does not have an inverse wrt multiplication.
Why are the rational numbers under the operation of multiplication not a group?
I believe it is because 0 does not have an inverse element.
Does the set of even integers form a group under the operation of multiplication?
No. The inverses do not belong to the group.
What group of mathematicians first discovered the irrational numbers?
Pythogora
Rational and irrational numbers make up what group?
They make up the Real numbers.
Where does the square root of 3 belong?
It belongs in the irrational group of numbers.
Of integers real numbers rational or irrational numbers what group includes all others?
real
Is the group of all real numbers except 0 under multiplication is an infinite group?
s
What is the intersection of the rational numbers and the irrational numbers?
Some would say that there is no intersection. However, if the set of irrational numbers is considered as a group then closure requires rationals to be a proper subset of the irrationals.
What is a group of related multiplication and division facts that use the same numbers?
array
What group of real numbers does Pi belong to?
Pi is an Irrational number, which is one of the two subcategories of real numbers.
What group of numbers does pi belong to?
Pi is both an irrational number and a transcendental number.
