Question

if x=5 - 2 root 6 find the value of root x+1/root x

Answer 1

Answer:

Step-by-step explanation:

x = 5-2$\sqrt{6}$

$\frac{1}{x}$ = $\frac{1}{5-2\sqrt{6} }$ ⇒ $\frac{1}{5-2\sqrt{6} }$ × $\frac{5+2\sqrt{6} }{5+2\sqrt{6} }$  ⇒ $\frac{5+2\sqrt{6} }{25-24}$ ⇒ $5+2\sqrt{6}$

∴$x+\frac{1}{x}$= 5-2$\sqrt{6}$+ $5+2\sqrt{6}$ ⇒ 5+5=10

hope you understand