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Mathematics 24 Online
OpenStudy (anonymous):

To which subsets of the real numbers does the number (square root) 42 belong? A. whole numbers,natural numbers, integers B.irrational numbers C. rational numbers D. whole numbers,integers,rational numbers

OpenStudy (kinggeorge):

B. \(\sqrt{42}\) is irrational, so it would belong to the irrational numbers.

OpenStudy (anonymous):

KingGeorge is correct. The square root of 42 is definitely not a whole number, therefore it cannot be A or D. Since it cannot be written as a fraction or nonrepeating decimal either, it is irrational and thus Choice B.

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