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


326

  • a)
    106,276

  • b)
    104176

  • c)
    106176

  • d)
    107176

Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Find the square of the following numbers using the duplex method.326a)...
Splitting the number 326 into its hundreds, tens, and units place digits, we have 3, 2, and 6. Calculating the cross product and the square of each digit:
Cross product: 3 * 6 = 18
Square of 3: 32 = 9
Square of 2: 22 = 4
Square of 6: 62 = 36
Combining the results, we get 106276, which is the square of 326. Among the options, (a) 104176 is the closest match to 106276.
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Community Answer
Find the square of the following numbers using the duplex method.326a)...

Explanation:

Duplex Method:

The duplex method is a technique used to find the square of numbers quickly and efficiently. It involves breaking down the number into tens and units digits, squaring them separately, and then combining the results to get the final answer.

Given number:
326

Calculations:

- Break down the number into tens and units:
- Tens digit = 32
- Units digit = 6

- Square the tens digit:
- (32)^2 = 1024

- Multiply the tens digit by the units digit and double the result:
- 2 * 32 * 6 = 384

- Square the units digit:
- (6)^2 = 36

- Combine the results:
- 1024 || 384 || 36 = 104176

Therefore, the square of 326 using the duplex method is 104176.
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