Math, asked by XxkrishnadeewanixX, 1 month ago

if x =2+√3 then x ³+1/x³ is​

Answers

Answered by Bidikha
2

Answer:

x = 2 +  \sqrt{3}

 \frac{1}{x}  =  \frac{1}{2 +  \sqrt{3} }

 \frac{1}{x}  =  \frac{2 -  \sqrt{3} }{(2 +  \sqrt{3} )(2 -  \sqrt{3} )}

 \frac{1}{x}  =  \frac{2 -  \sqrt{3} }{ {2}^{2} -  { \sqrt{3} }^{2}  }

 \frac{1}{x}  =  \frac{2 -  \sqrt{3} }{4 - 3}

 \frac{1}{x}  =  \frac{2 -  \sqrt{3} }{1}

 \frac{1}{x}  = 2 -  \sqrt{3}

Now,

 =  {x}^{3}  +  \frac{1}{ {x}^{3} }

 =  {(2 +  \sqrt{3} )}^{3}  +  {(2 -  \sqrt{3}) }^{3}

 = 8 + 3 \sqrt{3}  + 12 \sqrt{3}  + 18 + 8 - 3 \sqrt{3}  - 12 \sqrt{3}  + 18

 = 8 + 18 + 8 + 18

 = 52

Answered by XxkunalvaishnavxX
1

Answer:

yes so many special thinks you have that's why

if you shown me your pic tu or bhi special

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