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| 1. |
Prove that root2 is rational |
| Answer» Let us find the square root of 2 by long division method as shown below:{tex}\\Rightarrow{/tex}\xa0{tex}\\sqrt{2}{/tex}\xa0= 1.4142135.Clearly, the decimal representation of{tex}\\sqrt{2}{/tex}\xa0is neither terminating nor repeating. Hence, it is not a rational number. | |