Question

X= 2+√3 find value of X+1/x​

Answer 1

Answer:

$as \: x = 2 + \sqrt{3} \\ so \: \frac{1}{x} = \frac{1}{2 + \sqrt{3} } \\ \frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } \\ \frac{2 - \sqrt{3} }{ {2}^{2} - { \sqrt{3} }^{2} } \\ \frac{2 - \sqrt{3} }{4 - 3} \\ \frac{2 - \sqrt{3} }{1} \\ so \: \frac{1}{x} = 2 - \sqrt{3} \\ \\ now \: x + \frac{1}{x} = 2 + \sqrt{3} + 2 - \sqrt{3} = 4$