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Simplify `1/(sqrt(5)+sqrt(6)-sqrt(11))` |
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Answer» `1/(sqrt5+sqrt6-sqrt11) = 1/(sqrt5+sqrt6-sqrt11)**((sqrt5+sqrt6)+sqrt11)/((sqrt5+sqrt6)+sqrt11)` `= ((sqrt5+sqrt6)+sqrt11)/(((sqrt5+sqrt6)^2-sqrt11^2))` `=(sqrt5+sqrt6+sqrt11)/(5+6+2sqrt30 -11)` `=(sqrt5+sqrt6+sqrt11)/(2sqrt30)`, which is the required solution. |
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