EXTRACT

Remove, usually with some force or effort; also used in an abstract sense

Example: "Pull weeds"

Get despite difficulties or obstacles

Example: "I extracted a promise from the dean for two new positions"

Deduce (a principle) or construe (a meaning)

Example: "We drew out some interesting linguistic data from the native informant"

Extract by the process of distillation

Example: "Distill the essence of this compound"

Separate (a metal) from an ore

Obtain from a substance, as by mechanical action

Example: "Italians express coffee rather than filter it"

Take out of a literary work in order to cite or copy

Calculate the root of a number