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Prove? root 3 is irrational number? |
| Answer» To prove whether\xa0{tex}\\sqrt{3}{/tex} is rational or irrational, we find the square root of\xa0{tex}\\sqrt{3}{/tex}\xa0by long division method.{tex}\\therefore{/tex}\xa0{tex}\\sqrt{3}{/tex}\xa0= 1.732050807We observe that the decimal representation of{tex}\\sqrt{3}{/tex}\xa0is neither terminating nor repeating. Hence,\xa0{tex}\\sqrt{3}{/tex} is an irrational number. | |