Question

Prove the circled one

Answer 1

1/(3+√7)+1/(√7+√5)+1/(√5+√3)+1/(√3+1)
=(3-√7)/2+(√7-√5)/2+(√5-√3)/2+(√3-1)/2
=(3-√7+√7-√5+√5-√3+√3-1)/2
=2/2
=1 Proved
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