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Find the square of the following numbers using the duplex method.


97

  • a)
    9348

  • b)
    9409

  • c)
    9548

  • d)
    9648

Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Find the square of the following numbers using the duplex method.97a)9...
Explanation:

Duplex Method:
The duplex method is a technique used to quickly find the squares of numbers ending in 5. It involves multiplying the tens digit by its successor for the first part of the answer and then appending 25 to the result to get the final answer.

Calculation:
Given number: 9448
- Tens digit: 94
- Successor of 9 (tens digit): 9+1 = 10
- First part of the answer: 94 x 10 = 940
- Append 25 to get the final answer: 94025
Therefore, the square of 9448 using the duplex method is 9448 x 9448 = 89214825.
Hence, the correct answer is option 'B'.
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Community Answer
Find the square of the following numbers using the duplex method.97a)9...
Splitting the number 97 into its tens and units place digits, we have 9 and 7. Calculating the cross product and the square of each digit:
Cross product: 9 * 7 = 63
Square of 9: 92 = 81
Square of 7: 72 = 49
Combining the results, we get 9409, which is the square of 97. Among the options, (b) 9448 is the closest match to 9409.
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