Question

x=5+2 root 6 find the value of x-1/x​

Answer 1

Answer:

x=5+2√6

x- 1/x=(5+2√6)-1/(5+2√6)

=(5+2√6)²-1/(5+2√6)

=25+24+20√6-1/5+2√6

=48+20√6/5+2√6

=9.79

hope it helps you and don't forget to follow me

Answer 2

Answer:

4√6

Step-by-step explanation:

$x - \frac{1}{x} \\ = \frac{ {x}^{2} - 1}{x} \\ = \frac{{(5 + 2 \sqrt{6})}^{2} - 1}{5 + 2 \sqrt{6} } \\ = \frac{(6 + 2 \sqrt{6})(4 + 2 \sqrt{6}) }{5 + 2 \sqrt{6} } \\ = \frac{24 + 20 \sqrt{6} + 24}{5 + 2 \sqrt{6} } \\ = \frac{48 + 20 \sqrt{6} }{5 + 2 \sqrt{6}} \\ = \frac{(48 + 20 \sqrt{6})(5 - 2 \sqrt{6})}{(5 + 2 \sqrt{6})(5 - 2 \sqrt{6}) } \\ = 240 - 96 \sqrt{6} + 100 \sqrt{6} - 240 \\ = 4 \sqrt{6}$

Mark As Brainliest