1.

Simplify `1/(sqrt(5)+sqrt(6)-sqrt(11))`

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.


Discussion

No Comment Found