If x=2+3√2 then find (x+14/x)
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Answer:
x=2+3 root 2 and find (x+14/×)
(2+3 root 2) + 14/2+3 root 2
(2+3 root 2) + 14/2+3 root 2 × 2-3 root 2/2-3 root 3
(2+3 root 2) + 14 (2-3 root 2)/(2)^2-(3 root 2)^2
(2+3 root 2) +14 (2-3 root 2)/ 4-18
(2+3 root 2) + 14(2-3 root 2)/ 14
(2+3 root 2) + (2-3 root 2)
3 root 2 and - 3 root 2 are canceled
then,
2+2=4
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