Question

If x=3+2 root find x + 1/X

Answer 1

Step-by-step explanation:

$x = 3 + \sqrt{2} \\ we \: find \: \\ x + \frac{1}{x} \\ then \\ (3 + \sqrt{2} ) + \frac{1}{3 + \sqrt{2} } \\ \frac{9 + 3 \sqrt{2} + 3 \sqrt{2} + 4}{ 3 + \sqrt{2} } \\ \frac{13 + 6 \sqrt{2} }{3 + \sqrt{2} } \times \frac{ 3 - \sqrt{2} }{3 - \sqrt{2} } \\ \frac{39 + 18 \sqrt{2} - 13 \sqrt{2} - 24 }{ 9 - 2} \\ \frac{15 + 5 \sqrt{2} }{7}$

i hope its help