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If $x = 2$ + √3, then the value of $x + 1/ x$ is:

Competition practiceAlgebra

A2√3
B2
C4 + 2√3
D4

Step-by-Step Solution

Rationalise: 1/(2 + √3) = (2 − √3)/((2 + √3)(2 − √3)) = (2 − √3)/

(4 - 3) = 2

− √3. So

x + 1/ x

= (2 + √3) + (2 − √3) = 4.

Answer: D) 4

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