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

Is ( square root 12 -4)(4+square root 12) rational or irrational
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4 votes
Is ( square root 12 -4)(4+square root 12) rational or irrational

User Joao Trindade
by
8.0k points

1 Answer

5 votes
remember
(a-b)(a+b)=a²-b²

we can rewrite what we were given into

( √(12)-4)( √(12)+4)=( √(12))^2-(4)^2=12-16=-4
definitely rational
User AndRSoid
by
7.5k points
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