设√5+1/√5-1=a+b√5（a,b为有理数）,则a+b=

Question

设√5 +1/√5-1=a+b√5（a,b为有理数）,则a+b=

Answer 1

√5 +1/√5-1
=√5 +（√5+1）/(5-1)
=√5+1/4√5+1/4
=1/4+5/4√5
a=1/4
b=5/4
a+b=1/4+5/4=3/2
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