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If $x = 3 + 2$ √2, find the value of √ $x + 1/$ √ $x$ .

Competition practiceAlgebra

A2
B2√3
C2√2
D√6

Step-by-Step Solution

(x + \frac{1}{x})^{2} = x + \frac{1}{x} + 2 = 6 + 2 = 8

, so the value is

22

. (Indeed

x = 1 + 2 .

)

Answer: C) 2√2

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