Find the square root of 63504

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

252

250

284

360

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

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

.
The same prime numbers will now be added together and written in groups of two as shown below.

. 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,

Therefore, the square root of 63504 is 252 .
Hence, the correct answer is option 1) 252

Watch 3-min video & get full concept clarity