check whether the given numbers are perfect squareor not. if not then find the smallest number by which the given number must be divided as to get a perfect square in each case. also find the square root of number obtained 624,2925,396
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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 perect square lets find prime factorsiation 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 numbere whch divided 264 to make perfect square
=> 624 /39 = 16
=>√16 = 4
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