What is the least number that should be added to the product 11 × 12 × 13 × 14 to make it a perfect square ?

Questions :

What is the least number that should be added to the product 11 × 12 × 13 × 14 to make it a perfect square ?

Options :

  • 31
  • 311
  • 5
  • 55

correct answer : a)

[2(24204 – 15²)]
a² – b² = (a + b)(a – b)
24024 – 225 = 23999

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