Question 545101


{{{(sqrt(a)+sqrt(b))/(sqrt(a)-sqrt(b))}}}



{{{((sqrt(a)+sqrt(b))*highlight((sqrt(a)+sqrt(b))))/((sqrt(a)-sqrt(b))*highlight((sqrt(a)+sqrt(b)))))}}}



{{{((sqrt(a))^2+2*sqrt(a)*sqrt(b)+(sqrt(b))^2)/((sqrt(a))^2-(sqrt(b))^2)}}}



{{{(a+2*sqrt(ab)+b)/(a-b)}}}



So {{{(sqrt(a)+sqrt(b))/(sqrt(a)-sqrt(b))=(a+2*sqrt(ab)+b)/(a-b)}}}



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