Question

if x=2+√3 then find x+1/x​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given :

• x = 2+√3

To find :

• x + 1/x

Solution :

First find 1/x

=> 1/x = 1/(2+√3)

Here , rationalise the denominator ,

=> 1/x = 1/(2+√3)×(2-√3)/(2-√3)

=> 1/x = (2-√3)/((2²)-(√3²))

=> 1/x = (2-√3)/(4-3)

=> 1/x = 2-√3

Now :

=> x + 1/x

=> 2+√3 + 2 -√3

=> 4 .