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Find the square roots of the following numbers by the Prime Factorisation Method.(v) 7744

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

(v) 7744

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We have in 7744. By prime factorization, we get 

         7744 = 2\times2\times2\times2\times2\times2\times11\times11

or       7744 = (2\times2\times11)^{2} = 44^{2}

Thus the square root of 7744 is 44.

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