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c...........is the Ans..............,...hope it may help you
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x= 2-√3
so, 1/x = 1/ 2-√3 ........ rationalize it
hence , 1/x = 1/ 2-√3 ×( 2+√3)/(2+√3)
=> 1/x = 2+√3
so x+ 1/x. = 2-√3 +2+√3
= 4
we can write
(√x+1/√x)^2 = x +1/x +2
=> (√x+1/√x)^2 = 4+2
=> (√x+1/√x)^2 = 6
=> √x+1/√x = √6 answer....
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