Q. 1 C4.1( 16 Votes )

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Answer :

Given, a number as 4096. We need to find out the square root using prime factorization method.

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



2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2


Step 2: Make pairs of equal factors, we get


(2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2)


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


2 × 2 × 2 × 2 × 2 × 2


64


Hence, 64 is the square root of the given number 4096 using prime factorization method


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