Question

if x = 9 + 4 root 5 , then what is root x + 1/ root x ?

Answer 1

Answer:

$2 \sqrt{5}$

Step-by-step explanation:

x = 9 + 4 root 5

$x = 9 + 4 \sqrt{5}$

$\sqrt{x} = \sqrt{5} + \sqrt{4}$

$\frac{1}{ \sqrt{x} } = \sqrt{5} - \sqrt{4}$

root x + 1/ root x

$= \sqrt{x} + \frac{1}{ \sqrt{x} }$

$= \sqrt{5 } + \sqrt{4} + \sqrt{5} - \sqrt{4}$

$= 2 \sqrt{5}$