Question

tell me fast plz.... it's urgent​

Answer 1

Answer:

Given,

x = 2 + √3

now ,

(x + 1/x)³

={(x²+1)/x}³

=[ {(2+√3)²+1}/(2+√3)]³

=[ {4+4√3+1}/(2+√3)]³

= {(5+4√3)/(2+√3)}³

= {(5+4√3)(2-√3)/(2+√3)(2-√3)}³

= { (10-5√3+8√3-12)/(4-3)}³

={(-2+3√3)/1}³

= (-2+3√3)³

= (-2)³ + 3 .(-2)² . 3√3 + 3 . (-2). (3√3)² + (3√3)³

= -8 + 36√3 - 162 + 27

= 27 + 36√3 -170

= 36√3 - 143

$\colorbox{yellow}{Answer\:\:\:36√3 - 143}$

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