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  1. The value of  
    4 + 3√3
    		   is
    7 + 4√3
    1. 5√3 − 8
    2. 5√3 + 8
    3. 8√3 + 5
    4. 8√3 − 5
Correct Option: A

Expression =
4 + 3√3
7 + 4√3

Rationalising the denominator,
=
(4 + 3√3)(7 − 4√3)
(7 + 4√3)(7 − 4√3)

=
28 − 16√3 + 21 √3 − 12 × 3
49 − 48

= 28 + 5√3 – 36 = 5√3 – 8


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