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Let a b c p be …

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Let a b c p be rational numbers such that p is not perfect cube . if a +bp^1/3+cp^2/3=0 then prove a=b=c=0

  • 1 answers

Shivam .G 6 years, 11 months ago

As p is not a perfect cube. Hence p1/3 and  p1/3 , p2/3  are irrartional numbers. Then we have b p1/3 +c p2/3   as irrational and a as rational. As sum of a rational number and an irrational number cannot give us a zero as answer so all the coefficiants (a,b and c) must be zero in general.

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