Maths-
General
Easy

Question

If a and b are two different positive real numbers, then which of the following relations is true

  1. 2 square root of a b end root greater than left parenthesis a plus b right parenthesis    
  2. 2 square root of a b end root less than left parenthesis a plus b right parenthesis    
  3. 2 square root of a b end root equals left parenthesis a plus b right parenthesis    
  4. None of these    

The correct answer is: 2 square root of a b end root less than left parenthesis a plus b right parenthesis


    we are asked to find which of the following relation is true
    We know that AM ≥ GM
    (a+b)/2 ≥ √(ab)
    (a+b) ≥ 2√ab

    Therefore the correction option in choice 2

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