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Answer» ★Ello ★
here is your answer !!
X = 3 + ✓8
there FORE ,
1 /x = 1 / 3 + √ 8 × 3 -✓8 / 3 - ✓ 8
{ rationalize. }
1 / x = 3 -✓8 / 9 -8
=> 1 / x = 3 -✓ 8 / 1
now ,.
x + 1 / x => 3 + √ 8 + 3 - ✓ 8
=> x + 1 / x = 6
=> (x + 1 / x )² = x² + 1 / x² + 2 × x × 1 / x
=> ( 6 )² = x² + 1 / x² + 2
x² + 1 / x² = 36 -2
=> x² + 1/ x² = 34 .
hence proved !!!
hope it helps you dear !!
THANKS !!

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