Question

if x=2+√3 find x+1/x​

Answer 1

Answer:

1

x+----= 4

x

Step-by-step explanation:

x =2 + √3

1 1

----= ------------

x 2+√3

1 ( 2- √3)

-----= -------------------------

x (2+ √3) (2 -√3)

1 2- √3

-----= ------------------------

X (2)^2 - (√3)^2

1 2- √3

------= -----------------

X 4 - 3

1 2-√3

-------= -----------------

X 1

1

-------= 2 - √3

x

now

1

x + ----- =(2+√3) +(2-√3)

x

= 4