find the square root of the 9604 by prime factorization method.

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answer is C.

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Detailed Solution

Concept- We've been given a number and must discover its square root using the prime factorization method. We must write prime factors of the number in the product to do this. Following that, we must couple the prime [number]. To add the product, we write one number from each pair. It will provide us the requisite square root if all of the prime numbers are paired; else, the number I will not be a prime number square.
We have the number. 9604 we have to do the prime factorization of 9604 .
The prime factor of 9604 are 9604

Now we have to find the square root.
Taking square root on both sides

Now from the right-hand side, we have pairs of the prime number
2,7 ,we will take one number from the pair
Therefore

Hence, the correct option is 3.

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