What does it mean to pull up by the roots or to destroy completely?

The term that accurately conveys the meaning of “to pull up by the roots or to destroy completely” is indeed best represented by the word "eradicate." This word originates from the Latin root "radix," which means "root," and it signifies the complete removal or destruction of something so that it cannot grow back or exist anymore.

When something is eradicated, it implies a thorough and comprehensive action that goes beyond just surface-level destruction; it suggests that the very foundation or origin has been dealt with decisively. In contexts such as agriculture, pest control, or even social issues, to eradicate means undertaking efforts to ensure that something does not return or recur.

In contrast, the other options do not carry the same connotation of complete and total destruction. For instance, “entangle” suggests twisting or complicating, whereas “engrave” refers to carving or cutting into a surface. “Evoke,” on the other hand, means to bring a feeling, memory, or image into the mind. None of these terms imply the absolute annihilation or rooting out that "eradicate" conveys.