Q. 1 A4.9( 18 Votes )

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Answer :

Given, a number as 441. We need to find out the square root using prime factorization method.


Step 1: Resolve the given number into prime factors, we get



7 × 3 × 3 × 7


Step 2: Make pairs of equal factors, we get


(3 × 3) × (7 × 7)


Step 3: Choosing one factor out of every pair, we get


3 × 7


21


Hence, 21 is the square root of the given number 441 using prime factorization method


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