(34)3 এর সমান কত?

This question was previously asked in
RRB Group D 13 Sept 2022 Shift 2 Official Paper
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  1. 39204
  2. 39304
  3. 40304
  4. 29304

Answer (Detailed Solution Below)

Option 2 : 39304
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Detailed Solution

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প্রদত্ত : \((34)^3\)

অনুসৃত ধারণা:

সূচকীয় ঘাতগুলি এইভাবে প্রসারিত হয়: \(a^3=a\times a\times a\)

গণনা:

আসুন সরল করা যাক,

\((34)^3=34\times34\times34\\=1156\times34\\=39304\)

সুতরাং, (34) 3 39304 এর সমান।

Alternate Method

যেকোনো দুই-অংকের সংখ্যার ঘন খুঁজে বের করতে (এখানে 34 ধরুন),  (a + b)³ = a³ + 3a²b + 3ab² + b³ সূত্রটি নিন, যেখানে a এবং b দুটি অংক, অর্থাৎ a = 3 এবং b = 4

Screenshot 2023-01-20 200418

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