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It is not even closed. sqrt(3)*sqrt(3) = 3 - which is rational.

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Q: Is the set of irrational numbers a group under the operation of multiplication?
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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?

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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.

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