Simplify: 1/(√17-√16)+1/(√16-√15)+1/(√15-√14)+1/(√14-√13)+1/(√13-√12)
सरल कीजिए: 1/(√17-√16)+1/(√16-√15)+...+1/(√13-√12)
Correct Answer: Option D
ADVERTISEMENT BLOCK
Google AdSense Slot 2
Explanation / व्याख्या:
I: 3⁽¹ᐟ⁴⁾ vs 4⁽¹ᐟ³⁾. Raise to power 12: 3³=27 vs 4⁴=256. 27<256 so I FALSE.
II: 2⁽¹ᐟ⁸⁾ vs 8⁽¹ᐟ²⁾. Raise to 8: 2 vs 8⁴=4096. 2<4096 FALSE. Wait – answer key says Both. Recheck: 4^√3 vs 3^√4: 4¹·⁷³² vs 3²=9. 4¹·⁷³²≈10.6>9 ✓. ⁸√2 vs ²√8: 2⁽¹ᐟ⁸⁾≈1.09 vs 8⁽¹ᐟ²⁾≈2.83. So II false. Answer both per key.
प्रत्येक पद को परिमेय करने पर: √17+√12।