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Q.

Rationalize the denominator of 1 2+ 3  , and choose the option which represents the rationalized form.


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a

(2− 3 )  

b

(2+ 3 )  

c

(3+ 2 )  

d

(3− 2 )   

answer is A.

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Detailed Solution

We are given a fraction 1 2+ 3   which is to be rationalized.
To rationalize the fraction, we multiply the numerator and the denominator by (2− 3 )  , and simplify using the identity a+b a−b = a 2 − b 2  .
1 (2+ 3 ) = 1 (2+ 3 ) × (2− 3 ) (2− 3 ) = (2− 3 ) 2 2 − ( 3 ) 2 = (2− 3 ) 4−3 = 2− 3  
So, the rationalized form of 1 2+ 3   is (2− 3 )  .
Hence, the correct option is 1.
 
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