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(i) 252: Prime factorization of 252 gives =
.
For making pairs we will divide the given number by 7.
The obtained number is 36 and its square root is 6.
(ii) 2925: Prime factorization of 2925 gives =
To make pairs divide the given number by 13.
So the obtained number is 225 and its square root is 15.
(iii) 396: Prime factorization if 396 =
For obtaining perfect square number we need to divide the given number by 11.
So the required number is 36 and its square root is 6.
(iv) 2645: Prime factorization of 2645 =
We need to divide the given number by 5 to obtain the perfect square number.
So the obtained number is 529 and its square root is 23.
(v) 2800: Prime factorization of 2800 =
To make pairs we need to divide 2800 by 7.
So the required number is 400 and its square root is 20.
(vi) 1620: Prime factorization of 1620 gives =
To make pairs divide the given number by 5.
We get , number = 324 and its square root = 18.