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Evaluate : 1/( sqrt5 + sqrt6 ) times ...

Evaluate :
`1/( sqrt5 + sqrt6 ) times ( sqrt5 - sqrt6 ) / ( sqrt5 - sqrt6`

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The value of { 1/(sqrt6 - sqrt5) - 1/(sqrt5 - sqrt4) + 1/(sqrt4 - sqrt3) - 1/(sqrt3 - sqrt2) + 1/(sqrt2 - 1)} is :

(5 + sqrt6)/(5 - sqrt6)