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).
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.