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Q.

Which of the following is the sum of 2 3   and 3 2  ?


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a

2 3 +3 2  

b

2 3 −3 2  

c

5 2 + 3  

d

5 2 − 3   

answer is A.

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Detailed Solution

The given real numbers are 2 3   and 3 2 .  
If two numbers that involve radical expression have the same radical term, they might be joined or added.
Since the numbers 2 3    and 3 2   include different radical terms which cannot be added together, therefore the result 2 3 +3 2   will be obtained by adding the two terms.
Therefore, the sum of 2 3   and 3 2   is equal to 2 3 +3 2 .    Hence, option (1) is correct.
 
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Which of the following is the sum of 2 3   and 3 2  ?