Question 1133685

If {{{x=sqrt(5)+sqrt(3)}}} then the value of {{{(x-1)/x}}} will be:


{{{(x-1)/x}}} 


={{{(sqrt(5)+sqrt(3)-1)/(sqrt(5)+sqrt(3))}}} 


={{{((sqrt(5)+sqrt(3)-1)(sqrt(5)-sqrt(3)))/((sqrt(5)+sqrt(3))(sqrt(5)-sqrt(3)))}}} 


={{{((sqrt(5))^2+sqrt(3)sqrt(5)-sqrt(5)-sqrt(5)sqrt(3)-(sqrt(3))^2+sqrt(3))/((sqrt(5))^2-(sqrt(3))^2)}}}


={{{(5-sqrt(5)-3+sqrt(3))/(5-3)}}}


={{{(2-sqrt(5)+sqrt(3))/2}}}


answer is: None