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Q.

Find the square root of the following number by the prime factorization method- 1936.


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a

41

b

42

c

43

d

44 

answer is D.

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Detailed Solution

Concept- We shall make use of the idea of prime factorization to answer this query. Every composite number may be stated, or we can say that it is factorized, as a product of prime numbers, according to the fundamental theorem of mathematics. This factorization is unique, save for the order in which the prime components appear.
The factors of 1936 are,
1936=2×2×2×2×11×11
Take square root on both sides,
Question ImageQuestion ImageQuestion ImageQuestion Image= 44
So, the square root of 1936 is 44
Hence, the correct answer is option 4.
 
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