Question

if x=2-√3 find the value of x+1/x​

Answer 1

${\huge {\mathfrak {Answer :-}}}$

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Given, x = 2 - root 3

So, 1/x = 1/(2 - root 3)

= (2 + root 3) / (2 - root 3)(2 + root 3)

= (2 + root 3) / 4 - 3

= 2 + root 3

Now,

x + 1/x

= 2 - root 3 + 2 + root 3

= 4

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Thanks..

Answer 2

Answer:

x+1/x=2-root3+1/2-root 3

=(2-root 3)^2-1/2-root3

=(2)^2+(root3)^2-2×2×root3-1/2-root3

=4+3-4root3-1/2-root3

=6-4 root 3/2-root3 is the answer