Math, asked by shashankkumar6022, 3 months ago

If x=2 add √3,find the value of x^3 add 1/x^3​

Answers

Answered by Devicharan78
0

Answer:

65/8+root 3 is answer

Do you want explanation

Answered by KuldeepShori
0

Step-by-step explanation:

x = 2 +  \sqrt{3}  \\  {x}^{3}  = ( {2 +  \sqrt{3)} }^{3}  \\  {x}^{3}  = ( {2})^{3}  + ( { \sqrt{3}) }^{3}  + 3(2)( \sqrt{3} )(2 +  \sqrt{3} ) \\  = 8 + 3 \sqrt{3}  + 6 \sqrt{3} (2 +  \sqrt{3} ) \\  = 8 + 3 \sqrt{3}  + 12 \sqrt{3}  + 18 \\   {x}^{3} = 26 + 15 \sqrt{3}  \\  \frac{1}{ {x}^{3} }  =  \frac{1}{26 + 15 \sqrt{3} }  \times   \frac{26 - 15 \sqrt{3} }{26 - 15 \sqrt{3} }  \\  =  \frac{26 - 15 \sqrt{3} }{ ({26})^{2}  -  {(15 \sqrt{3} })^{2} }  \\  =  \frac{26 - 15 \sqrt{3} }{676 - 675}  \\  \frac{1}{ {x}^{3} }  =  \frac{26 - 15 \sqrt{3} }{1}  \\  \frac{1}{ {x}^{3} }  = 26 - 15 \sqrt{3}

Similar questions