Question

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
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Answer 1

Answer:

4) By prime factorization of 2645, we get2645 = 5 x 23 x 23Here, 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× 23Thus, 529 has 1 pairs of equal prime factors. Hence, 529 is a perfect square & √529= 23Thus, 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. PLZ MARK ME AS BRAINLIEST ANSWER.