Question

if x=2+ root3 then 1/x =? best qnswer will mark. as brainliest​

Answer 1

Answer:

1/x=2-√3

Step-by-step explanation:

x=2+√3

so,1/x=1/2+√3

1/x=1(2-√3)/(2+√3)(2-√3)

1/x=2-√3/(2)^2-(√3)^2

1/x=2-√3/4-3

1/x=2-√3/1

so,1/x=2-√3.

plz mark as brainliest.

Answer 2

$x = 2 + \sqrt{3} \\ \frac{1}{x} = \frac{1}{2 + \sqrt{3} } \\ = \frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } \\ = \frac{2 - \sqrt{3} }{ {2}^{2} + \sqrt{ {3}^{2} } } \\ = \frac{2 - \sqrt{3} }{1} \\ = 2 - \sqrt{3}$