Question

20. If x = 2 + √3 find the value of x +1/x
and its nature.​

Answer 1

Answer:

4

Step-by-step explanation:

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

$= \frac{( {2 + \sqrt{3} )}^{2} + 1}{2 + \sqrt{3} } = \frac{8 + 4 \sqrt{3} }{2 + \sqrt{3} } = \frac{4(2 + \sqrt{3)} }{2 + \sqrt{3} } = 4$

Answer is a positive real no.