Question

Check whether the given numbers are perfect
squares or not. If not, then find the smallest
number by which the given number must be
divided so as to get a perfect square in each case.
Also, find the square root of the number
obtained.
(a) 624 (b) 2925
(c) 396​

Answer 1

First let us check whether 624 is a perfect square

=> lets do it by long division method

=>the steps are there in the photo given below

we see that it is not a perfect square

to make it a prefect square lets find prime factorization of 624

=>624 = 2, 2, 2, 2, 3, 13

this can be written as

=> 2², 2², 3, 13

we see that 3 and 13 are not in pair

=>3 *13 = 39

=>39 is the smallest number which divided 264 to make perfect square

=> 624 /39 = 16

=>√16 = 4

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hope it helps u,...….