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Q.

Find the square root of 63504


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a

252

b

250

c

284

d

360

answer is A.

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Detailed Solution

Concept: We will use the prime factorization method to determine the square root of the given number, which is 63504. The multiple of the primes will be used to represent that number. After that, it will be written as a group of two sentences. Then, we shall multiply all such prime numbers by the prime number we chose from each group. The resulting product of the chosen prime numbers will be the square root of 63504.
We can write https://lh5.googleusercontent.com/j9C_8rqGga056nKSBAydqM7JILWBkx0SsqoumuxxJY3lKi2kXrN8LCzsv3MmNvYQgCx1bs-7GtXNEfmCB-3Gxka0Y-EBv1OFQpf1lZm4dbFzWnJeRC6BWL-F0WItB9TmBhWEZMx5JuQ8y7pe78p2_g.
The same prime numbers will now be added together and written in groups of two as shown below.
https://lh3.googleusercontent.com/Q78L74WDgCYCEUI-Z2JGZXi1zk3u86-PDFdqR_Ts-F_ym6Ylet7zXa9x6dxLd2V-oiRj0RG48OTYfXIpCBe6EgQCXDnlNdq2JG36IMc9RRWsTmeXssXipqsjUX5Hh8mmbPPgAVIUNZToXLyP-cLlPw. The next step is to select one number from each group. Thus, from the first, second, third, fourth, and fifth groups, we will receive 2,2,3,3 and 7 respectively.
Because of this, the product of these numbers 2, 2, 3, and 7 will be the square root of 63504.
Therefore, https://lh5.googleusercontent.com/W-F9i7kGJx0ob0JW_6cUGUwliWQoANIcQrncEWkbQbZR6sD4k9zxwxT5QnkMRmHTDey3OmO-FRiYNBqy9IOP3UMZ3aOCw_HXAua4EMOUtKcA8up_qr1p5samZcu4BYnwdSdP0HeaOeK9Yyq9A9ZDHghttps://lh6.googleusercontent.com/3SKdQSIrQRCX_58-3mw9HJhvJVEBmjcmdlUOeLBLJlPum_zhrtU98CVfYITv6OqPt54sMCsFaYd3ljM3nZ6yzHAY16Ax7sdgYThXmgKsYKLBMYH1cMSX_-_MornG2u-Ll0sHrYr2nTThBxXAF3gL7ATherefore, the square root of 63504 is 252 .
Hence, the correct answer is option 1) 252
 
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