Question

If x=2+√3 find the value of x+1/x​

Answer 1

Answer:

Given x = (2+√3)

=> 1/x = 1/(2+√3)

Multiply and divide 1/(2+√3) with (2-√3)

=> (2-√3)/((2+√3)(2-√3))

=> (2-√3)/(4-3)

=> (2-√3)

Therefore, x + 1/x

=> (2+√3) + (2-√3)

=> 2 + 2 = 4