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Find the smallest number by which 252 can be multiplied to obtain a perfect square

Find the smallest number by which 252 can be multiplied to obtain a perfect square

  • A.
    2
  • B.
    3
  • C.
    5
  • D.
    7
Correct Answer: Option D
Explanation

(252 = 2^{2} times 3^{2} times 7)

(therefore) To make 252 a perfect square, the smalest number to multiply with = 7.

(252 times 7 = 1764 = 42^{2})