How do you simplify #(5+ sqrt 5)/(8- sqrt 5)#?

1 Answer
Shwetank Mauria
Feb 16, 2016

By multiply numerator and denominator by denominator's conjugate pair. Solution is #(45+13√5)/(59)#

Explanation:

To simplify #(5+√5)/(8−√5)#, one has to multiply numerator and denominator by denominator's conjugate pair which is #(8+√5)#.

Hence, #(5+√5)/(8−√5)# becomes

#((5+√5)(8+√5))/((8−√5)(8+√5))# i.e.

#(40+5√5+8√5+5)/(64−5)# i.e.

#(45+13√5)/(59)#

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