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Calculate the square root of the given four-digit perfect square numbers. 
1024
  • a)
    31
  • b)
    32
  • c)
    33
  • d)
    34
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Calculate the square root of the given four-digit perfect square numbe...
Solution:

To find the square root of a four-digit perfect square number, we need to determine the two-digit number whose square is equal to the given four-digit number.

Given number: 1024

Step 1: We start by finding the square root of the first two digits of the given number, which is 10. The square root of 10 is approximately 3.16.

Step 2: Next, we need to determine the correct digit for the units place. To do this, we consider the remaining two digits of the number, which is 24.

Step 3: We check the square of the number obtained in step 1 (3), by multiplying it with the next consecutive number. In this case, 3 * 4 = 12.

Step 4: We compare the value obtained in step 3 (12) with the remaining two digits of the given number (24). If the value in step 3 is less than the remaining two digits, we increment the digit of the units place by 1.

Step 5: We repeat step 3 and step 4 until the value obtained in step 3 is greater than or equal to the remaining two digits of the given number.

Step 6: From the above steps, we find that the square root of the given number 1024 is 32.

Therefore, the correct answer is option 'B' (32).
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Community Answer
Calculate the square root of the given four-digit perfect square numbe...
To find the square root of 1024, we need to find a number that, when multiplied by itself, gives 1024. The square root of 1024 is 32 because 32 * 32 = 1024.
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