Question

if x - 2+ root 3. find x-1 upon x

Answer 1

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

by Rationalization,

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



$\frac{1}{x} = \frac{2- \sqrt{3} }{2^2 - (\sqrt{3})^2 }$


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

1/x = √3 -2
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x - 1/x 

(2+√3) - (√3 -2)

2 + √3 -√3 + 2 

4



i hope this will help you



-by ABHAY