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  1. If x = 2 + √3, then the value of √x +
    1
    is :
    x
    1. 3
    2. 6
    3. 2 √6
    4. 6
Correct Option: B

As per given question,
x = 2 + √3

1
=
1
x2 + √3

1
=
1
x
2 - √3
x2 + √32 - √3

1
=
2 - √3
= 2 - √3
x4 - 3

( √x +
1
)2 = x +
1
+ 2 = 2 + √3 + 2 - √3 + 2 .
xx

x +
1
= √6
x



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