Some common Greek and Latin roots:

Root (source) Meaning English words
aster, astr (G) star astronomy, astrology
audi (L) to hear audible, auditorium
bene (L) good, well benefit, benevolent
bio (G) life biology, autobiography
dic, dict (L) to speak dictionary, dictator
fer (L) to carry transfer, referral
fix (L) to fasten fix, suffix, affix
geo (G) earth geography, geology
graph (G) to write graphic, photography
jur, just (L) law jury, justice
log, logue (G) word, thought,
speech
monolog(ue), astrology, biology, neologism
luc (L) light lucid, translucent
manu (L) hand manual, manuscript
meter, metr (G) measure metric, thermometer
op, oper (L) work operation, operator
path (G) feeling pathetic, sympathy, empathy
ped (G) child pediatrics, pedophile
phil (G) love philosophy, Anglophile
phys (G) body, nature physical, physics
scrib, script (L) to write scribble, manuscript
tele (G) far off telephone,television
ter, terr (L) earth territory, extraterrestrial
vac (L) empty vacant, vacuum, evacuate
verb (L) word verbal, verbose
vid, vis (L) to see video, vision, television