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4. Rationalize the denominator and simplify. 5+√5/8-√5

4. Rationalize the denominator and simplify. 5+√5/8-√5
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4. Rationalize the denominator and simplify. 5+√5/8-√5

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User Paramesh Korrakuti
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1 Answer

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(5+ √(5) )/(8- √(5) ) = (5+ √(5) )/(8- √(5) ) * (8+√(5))/(8+√(5)) = ((5+√(5))*(8+√(5)))/((8-√(5))*(8+√(5))) = (40+5 √(5)+8 √(5)+( √(5))^2 )/(64+8√(5)-8√(5)-( √(5))^2) =

(40+13 √(5)+5 )/(64-5) = \boxed{(45+13 √(5) )/(59) }
answered
User Kali Charan Rajput
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