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  • Find the square roots of the following numbers by the Prime Factorisation Method. (iv) 4096

Q.4 Find the square roots of the following numbers by the Prime Factorisation Method.

(iv) 4096

Answers (1)

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We have 4096, by prime factorization:

            4096 = 2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2

or          4096 = (2\times2\times2\times2\times2\times2)^{2} = 64^{2}.

So the square root of 4096 is 64.

Posted by

Devendra Khairwa

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