Question

If x=2+√3, then (x+1/x) is equal to what

Answer 1

Step-by-step explanation:

(x+1/x)=(2+√3 + 1/2+√3)

=(2+√3)^2 +1

------------------------

2+√3

=2^2+√3^2+4√3+1

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2+√3

=4+3+4√3+1

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2+√3

=8+4√3

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2+√3

Answer 2

ANSWER...

x=2+√3..........(i)

Take reciprocal of both side

$\frac{1}{x}$=$\frac{1}{2+\sqrt[2]{3} }$

Now Rationalize it.

$\frac{1}{x}$=$\frac{1}{2+\sqrt[2]{3} } *\frac{2-\sqrt[2]{3} }{2-\sqrt[2]{3} }$

  $\frac{1}{x}$ =2-√3 ......(ii)

Now adding both equation..

x + $\frac{1}{x}$=2+√3+2-√3

x + $\frac{1}{x}$= 4

So answer is 4