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4 November, 09:40

Which subsets of the real numbers does the number spaure root of 42 belong to

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  1. 4 November, 09:46
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    Ok

    so we first got natural number or counting numbers

    this is like 1,2,3,4 etc

    then whole numbers, that is natural numbers plus 0

    so 0,1,2,3,4, etc

    then integers, that is whole numbers plus negatives

    so - 4,-3,-2,-1,0,1,2,3,4 etc

    then rational numbers, these are numbers that can be written in form a/b where a and b are integers and b≠0

    so like - 4/1 or 1/2 or something like that

    then irrational numbers, these can't be written in a/b form, they have to have a symbol or an unsimplified square root

    exmaples, π, √2

    these are the sets that make up real numbers

    note: an irrational number times a rational number results in an irrational number

    so

    √42 = (√2) (√3) (√7)

    √2 is irrational so √42 is irrational

    it belongs to the irrational numbers subset
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