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Find the Square Root the Following by Prime Factorization. 4096 - CBSE Class 8 - Mathematics

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Question

Find the square root  the following by prime factorization. 

 4096 

Solution

Resolving 4096 into prime factors:
4096 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 

Grouping the factors into pairs of equal factors:
4096 = (2 x 2) x (2 x 2) x (2 x 2) x (2 x 2) x (2 x 2) x (2 x 2)
Taking one factor for each pair, we get the square root of 4096:
(2 x 2) x (2 x 2) x (2 x 2) = 64

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Solution Find the Square Root the Following by Prime Factorization. 4096 Concept: Square Roots - Finding Square Root Through Prime Factorisation.
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