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Prove that 1/(1 + √2) + 1/(√2 + √3) + 1/(√3 + √4) + 1/(√4 + √5) + 1/(√5 + √6) + 1/(√6 + √7) + `1/(√7 + √8) + 1/(√7 + √8) = 2

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Prove that 

1/(1 + √2) + 1/(√2 + √3) + 1/(√3 + √4) + 1/(√4 + √5) + 1/(√5 + √6) + 1/(√6 + √7) + `1/(√7 + √8) + 1/(√7 + √8) = 2

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On rationalising 

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