Question

If x=
$2 \sqrt{6 + 5}$
then find x + 1/x ​

Answer 1

Answer:

The answer is 10

Step-by-step explanation:

Given  $x=2\sqrt 6+5$

      $\Rightarrow x-5=2\sqrt 6$

Square both sides

      $\Rightarrow (x-5)^2=(2\sqrt 6)^2\\\Rightarrow x^2-10x+25=4(6)\\\Rightarow x^2-10x+25=24\\\Rightarrow x^2+25-24=10x\\\Rightarrow \dfrac{x^2+1}{x}=10\\\\\Rightarrow x+\dfrac{1}{x}=10$