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Find the square roots of the following numbers by the Prime Factorisation Method.(vi) 9604

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

(vi) 9604

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We have in 9604. By prime factorization we get, 

            9604 = 2\times2\times7\times7\times7\times7 

or          9604 = (2\times7\times7)^{2} = 98^{2}

Hence the square root of 9604 is 98.

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