MathematicsWhich of the following is the simplified form of −3 3 + 2 − 3 2 6 + 3 + 4 3 6 + 2  ?

Which of the following is the simplified form of 3 3 + 2 3 2 6 + 3 + 4 3 6 + 2  ?


  1. A
    6 2 +5 3  
  2. B
    6 2 5 3  
  3. C
    6 2 3  
  4. D
    6 2 5 5    

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    Solution:

    Given-
    3 3 + 2 3 2 6 + 3 + 4 3 6 + 2  
    Rationalizing the given terms,
    3 3 + 2 3 2 6 + 3 + 4 3 6 + 2 = 3 3 + 2 × 3 2 3 2 3 2 6 + 3 × 6 3 6 3 + 4 3 6 + 2 × 6 2 6 2  
    Applying the formula ab a+b = a 2 b 2   to the denominator, Simplifying the expression, Hence, the value of 3 3 + 2 3 2 6 + 3 + 4 3 6 + 2   is 6 2 5 3  .
    Therefore, option 2 is correct.
     
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