Question

if x.=2+√3 THEN THE VALUE OF x.-1/x

Answer 1

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Answer 2

x= 2 + √3

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

                     By Rationalization

⇒$\frac{1}{x} = \frac{1}{2 + \sqrt{3} }$×$\frac{2 - \sqrt{3} }{2 - \sqrt{3} }$

⇒$\frac{2 - \sqrt{3} }{2^2 - ( \sqrt{3})^2 }$

⇒$\frac{2 - \sqrt{3} }{4 -3 }$

⇒$\frac{2 - \sqrt{3} }{1}$

⇒2 - √3 


Main

⇒2 + √3 - (2 -√3)

⇒ 2 + √3  -2 + √3

⇒2√3



i hope this will help you


-by ABHAY