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

x = 3 + 2√2

∴ 
1
=
1
x3 + 2√2

=
1
×
3 − 2√2
3 + 2√23 − 2√2

=
3 − 2√2
= 3 − 2√2
9 − 8

∴  x +
1
2 = x +
1
− 2
xx

= 3 + 2√2 + 3 − 2√2
= 4
∴  x
1
= 2
x



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