Question

لالي
6. For each of the following numbers, find the smallest whole number by which it Should
be divided so as to get a perfect square. Also find the square root of the square
number so obtained.
(i) 2645
​

Answer 1

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$\bf\large\underline\pink{Solution:-}$

4) By prime factorization of 2645, we get

2645 = 5 x 23 x 23

Here, 23 is in pair, but 5 needs a pair. Hence, the given number is not a perfect square.

 

Thus, 2645 needs to be divided by 5 to become a perfect square.

 

2645 /5= 5/5 x 23 x 23

 

529= 23× 23

Thus, 529 has 1 pairs of equal prime factors. Hence, 529 is a perfect square & √529= 23

Thus, the required smallest whole number by which it should be divided so as to get a perfect square number is 5 and the square root is √529= 23.

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