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Prove? root 3 is irrational number?

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Prove? root 3 is irrational number?

    • Posted by Sushil Kumar 6 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 4 months ago

    To prove whether {tex}\sqrt{3}{/tex}  is rational or irrational, we find the square root of {tex}\sqrt{3}{/tex} by long division method.

    {tex}\therefore{/tex} {tex}\sqrt{3}{/tex} = 1.732050807
    We observe that the decimal representation of{tex}\sqrt{3}{/tex} is neither terminating nor repeating. Hence, {tex}\sqrt{3}{/tex} is an irrational number.

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