If x = √3 + √2 , then the value of (x + 1/x)

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If x = √3 + √2 , then the value of (x + 1/x) is

1. 2
2. 3
3. 2√2
4. 2√3

Correct Option: D

Given , X = √3 + √2
∴ 1/x = 1/(√3 + √2)
Now Multiply and Divide by (?3 - ?2) in 1/x.
After multiply and divide, we will get
1/x = (1/(?3 + ?2)) X (?3 - ?2) /(?3 - ?2)
[rationalising]
⇒ 1/x = √3 - √2/3 - 2
∴ x + 1/x = √3 + √2 + √3 - √2 = 2√3