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If p=`7-4sqrt(3)`, then `(p^(2)+1)/(7p)`=_____.

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If p=`7-4sqrt(3)`, then `(p^(2)+1)/(7p)`=_____.
A. 2
B. 1
C. 7
D. `sqrt(3)`
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Correct Answer - A
`P=7-4sqrt(3)`
`(1)/(P)=(1)/(7-4sqrt(3))=(7+4sqrt(3))/(49-48)`
`therefore (1)/(P)=7+4sqrt(3)`
`P+(1)/(P)=(P^(2)+1)/(P)=7-4sqrt(3)+7+4sqrt(3)=14`
`implies (P^(2)+1)/(7P)=(14)/(7)=2`
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