Question

If x =√3+√2,then find the value of x+1/x and state whether it is rational or irrational​

Answer 1

Answer:

I don't know please ask another question

Answer 2

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

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

$2\sqrt{3} \: is \: irrational.$

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