Question

if x = 5 - 2√6 find 1 by x​

Answer 1

Answer:

5 + 2$\sqrt{6}$

Step-by-step explanation:

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

       

 $\frac{1}{x}$ =  $\frac{1}{5 -2\sqrt{6} }$

    =  $\frac{1}{5 -2\sqrt{6} }$       x      $\frac{5 + 2\sqrt{6} }{5 + 2\sqrt{6}}$             ( rationalizing the equation)

    = $\frac{5 + 2\sqrt{6}}{(5 - 2\sqrt{6})(5 + 2\sqrt{6})}$

    =  $\frac{5 + 2\sqrt{6}}{5^{2} - (2\sqrt{6})^{2} }$                    (∵ a² -b² = (a + b) (a  - b))

    =  $\frac{(5 + (2\sqrt{6}))}{25 - 24 }$

    =   5 + 2$\sqrt{6}$

      bahut mehnat lgi h please mark it as brainlist