If x = √11, determine the value of x + 1/x. 12√11

Question

Accepted Answer

1. Substitute $x=\sqrt{11}$.  
2. Compute $x+1/x=\sqrt{11}+1/\sqrt{11}=\dfrac{11+1}{\sqrt{11}}=\dfrac{12}{\sqrt{11}}$.  
3. Rationalize the denominator: $\dfrac{12}{\sqrt{11}}=\dfrac{12\sqrt{11}}{11}$.  
4. This value matches option (a).

FINAL_ANSWER: a

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Answer

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