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3 + root 2 irrational number …

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3 + root 2 irrational number Prove

    • Posted by Anurag Kumar 6 years, 7 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Anjali Atmaja 6 years, 7 months ago

    To prove 3+root 2 is irrational. Proof-Let 3+root 2 is rational number. So we can write it in the form of p/q where p and q are co-prime number. According to question 3+root2=p/q Root 2=p-3/q Here LHS is rational so RHS should must be rational but it is contradiction the fact that 3+root 2 is rational. So, our supposition that 3+root 2 is rational is wrong. Hence, 3+root 2 is irrational.

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