If x=2+√3,Find the value of x power3+1/x power3

1.	If x=2+√3,Find the value of x power3+1/x power3
Answer» Question :\xa0If x=2-√3, find the value of (x-1/x) of power 3Answer :x = 2 - √3--( 1 )1/x = 1/( 2 - √3 )= ( 2 + √3 ) / [ ( 2 - √3 )(2 + √3 ) ]= ( 2 + √3 ) / [ 2² - ( √3 )² ]= ( 2 + √3 ) / ( 4 - 3 )= 2 + √3 ----( 2 )x - 1/x= 2 - √3 - ( 2 + √3 )= 2 - √3 - 2 - √3= - 2√3 ---( 3 )Therefore ,( x - 1/x )³ = ( - 2√3 )³= - 24√3

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