if x=2+✓3, find x^3+1/x^3
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x=2+√3
x³=(2√3)³
=8*3*√3
=24√3
1/x³=1/24√3
x³+1/x³
=24√3+1/24√3
On taking LCM as 24√3
=24√3*24√3+1
Divided by 24√3
=(576*3)+1
Divided by 24√3
=1728+1
Divided by 24√3
=1729 divided by 24√3
Your answer will be
41.594..
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