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Question

If x=3+22,thenthevalueof(x+1x) is:


A

1

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B

2

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C

2√2

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D

8

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E

-1

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Solution

The correct option is C

2√2


(x+1x)2=x+1x+2=(3+22)+1(3+22)+2=(3+22)+1(3+22)×(322)(322)+2=(3+22)+(322)+2=8.(x+1x)=22


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