Question



A.

24364√7

B.

24384√11

C.

24384√7

D.

12192√7

Correct option is C

Given: 
x+1x=32x + \frac{1}{x} = 3 \sqrt{2} 
Formula Used: 
(a+b)2=a2+b2+2ab(a+b)^2 = a^2+b^2+2ab 
(ab)2=a2+b22ab(a-b)^2 = a^2+b^2-2ab 
a2b2=(a+b)(ab)a^2 - b^2 = (a+b)(a-b) 
Solution: 
As per the question;

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