Question

21.
X = 2- √3 then find the value of (x+1/x)^3​

Answer 1

Step-by-step explanation:

Given :

x = 2 +  \sqrt{3}  

To find :

x +  \frac{1}{x}  

Solution :

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

Now,

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

only i given the answer.

please mark me as brainliest.

upto now i did not get 1 brainliest also

Answer 2

Answer:

Step-by-step explanation: