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

Competition practiceNumber & Arithmetic

A6
B4
C8
D5

Step-by-Step Solution

1/ x = 1

/(3 + 2√2) = (3 − 2√2)/

((3)^{2} - (2\sqrt2)^{2}) =

(3 − 2√2)/

(9 - 8) = 3 - 2

√2. So

x + 1/ x

= (3 + 2√2) + (3 − 2√2) = 6.

Answer: A) 6

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