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Deepak Bora
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Prove that 2 + 5 √3 is an irrational number, given that √3 is an irrational number

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CBSE 10th Class past year question paper

Year 2019

SET 1, Code Number- 30/2/1

Question number – 13 (a)

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  1. Let 2 + 5 √3 = a , where ‘a’ is a rational number.

    than √3 = (a – 2) / 5

    Which is a contradiction as LHS is irrational and RHS is rational

    ∴ 2 + 5 √3 + can not be rational

    Hence 2 + 5 √3 + is irrational.

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