Question

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Answer 1

(√2-√1)/√2=1/1-1/√2
(√3-√2)/√6=1/√2-1/√3
(√4-√3)/√12=1/√3-1/√4
(√64-√63)/√64×63=1/√63-1/√64

(√2-√1)/√2+(√3-√2)/√6+(√4-√3)+....+(√64-√63)/√64×63=x/8
1/1-1/√2+1/√2-1/√3+1/√3-1/√4+...+1/√63-1/√64=x/8
1/1-1/√64=x/8
1/1-1/8=x/8
8-1=x
x=7