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

(iv) 4096

Answers (1)

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.

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