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प्रश्न
Show that `sqrt(5)` is an irrational numbers. [Use division method]
उत्तर
| 2.23606... | |
| 2 | 5.0000000000... -4 |
| 42 | 100 -84 |
| 443 | 1600 -1329 |
| 4466 | 27100 -26796 |
| 447206 | 3040000 -2683236 |
| 356764 ... | |
Clearly, `sqrt(5)` = 2.23606......; which is an irrational number.
Hence, `sqrt(5)` is an irrational number.
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