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If you rationalize the denominator of 1/(11(5^1/2)-3(3^1/2)) then you will get (r(5^1/2)+s(3^1/2))/n

where r, s, and n are all positive integers(with no common factors) r=   s=     n=
 
NOTE: Answers cannot be algebraic expressions. 
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1 Answer

r=11
s=3
n=578

Comments

You are correct, it is 578. I made a mistake.