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Q.

Find the square root of the following number by the prime factorization method. 1521.


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a

Question Image

b

Question Image 

c

Question Image

d

Question Image

answer is B.

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Detailed Solution

Concept: We will express 1521 as a multiple of primes in order to use the prime factorization method to calculate the square root of the following value. Following writing in the form of primes, writing in the form of a group of two will follow. Next, we will choose one prime number from each group, and we will multiply that number by all other prime numbers. These prime numbers will combine to form the square root of 1521.
We can write 1521 as:
Question ImageNow, We will take the same prime numbers and the same prime numbers will now be written in a group of two as illustrated below:
Question ImageWe will now select a single number from each group. As a result, we will receive 3 from the first group and 13 from the second. These integers will be combined to form the square root of 1521.
Thus, we will get:
Square root of Question ImageQuestion ImageQuestion ImageHence, the correct answer is option 2
 
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