what is the least number by which 2800 should be multiplied so that the product may be a perfect square.

a)2
b)7
c)14
d)none of these

• Answer is b) 7
  2800=2*2*2*2*5*5*7 so for perfect square multiplied by7
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• b because after multiplying by 7 , we get 19600 which is perfect square of 140
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• 2800=400*7=(20^2)*7
  so 2800*7=(20*7)^2
  ans-b
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• factors for 2800 are 2^4*5^2*7
  so for making it a perfect square we should multiply it by 7...
  so the least number is 7
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• 2800=10*10*2*2*7
  to make it perfect square we need 7 (atleast)
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