# Q.4  Find the square roots of the following numbers by the Prime Factorisation Method.(vii) 5929

The solution for the above-written question is as follows

Prime factorization of number 5929,

$5929 = 7\times7\times11\times11$

or           $5929 = (7\times11)^{2} = 77^{2}$.

Thus, the square root of 5929 is 77.

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