2250 এর কতগুলি উৎপাদকের বর্গমূল স্বাভাবিক সংখ্যা হবে?

This question was previously asked in
RRC Group D Previous Paper 42 (Held On: 16 Oct 2018 Shift 3)
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  1. 6
  2. 5
  3. 15
  4. 4

Answer (Detailed Solution Below)

Option 4 : 4
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ধারণা:

এই ধরণের প্রশ্নে, উৎপাদকগুলির বর্গমূল কেবল তখনই স্বাভাবিক সংখ্যা হবে, যদি উৎপাদক নিজেই একটি পূর্ণবর্গ হয়।

গণনা:

2250 সংখ্যাটিকে 2250 = 2 × 32 × 53 হিসাবে প্রকাশ করা যেতে পারে

∴ শুধুমাত্র 4টি উৎপাদক 1, 32, 52, (3 × 5)2 আছে যাদের বর্গমূল একটি স্বাভাবিক সংখ্যা হবে।
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