is ( square root 12 -4)(4+square root 12) rational or irrational

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24-10-2016
Mathematics

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is ( square root 12 -4)(4+square root 12) rational or irrational

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apologiabiology apologiabiology · Answer 1 · 2016-10-24T03:08:24+02:00

apologiabiology apologiabiology

24-10-2016

remember
(a-b)(a+b)=a²-b²

we can rewrite what we were given into
[tex]( \sqrt{12}-4)( \sqrt{12}+4)=( \sqrt{12})^2-(4)^2=12-16=-4 [/tex]
definitely rational

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