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  1. If   x = 7 − 4√3 , then the value of x +
    1
    		 is :
    x
    1. 3√3
    2. 8√3
    3. 14 + 8√3
    4. 14
Correct Option: D

x = 7 − 4√3

∴ 
1
 =
1
x7 − 4√3

=
1(7 + 4√3)
(7 + 4√3)(7 − 4√3)

=
7 + 4√3
 = 7 + 4√3
49 − 48

∴  x +
1
x

= 7 − 4√3 + 7 + 4√3 = 14


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