Question

x=2+√3, find the value of x^+1/x^​

Answer 1

Answer:

value of x + 1/x here is 4

Step-by-step explanation:

$x = 2 + \sqrt{3}$

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

Rationalising the term 1/x

$\frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} }$

$\frac{2 - \sqrt{3} }{4 - 3}$

$\frac{1}{x } = 2 - \sqrt{3}$

now ,

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

$2 + \sqrt{3} + 2 - \sqrt{3}$

$4$

so the answer is 4

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