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Definition of ascertain : 1. To find out or learn for a certainty, by trial, examination, or experiment; to get to know; as, to ascertain the weight of a commodity, or the purity of a metal.
2. To make ( a thing) certain to the mind; to free from obscurity, doubt, or change; to make sure of; to fix; to determine.
3. To render ( a person) certain; to cause to feel certain; to make confident; to assure; to apprise.

Synonyms:

decide, regard, stop, pick up, check off, condition, see to it, encounter, retrieve, crack, chance, shape, operate, curb, expose, come across, realise, recover, escort, look into, figure, cover, ensure, control, consider, limit, take in, teach, go through, larn, experience, ferret out, see, master, moderate, mold, watch over, manipulate, understand, realize, set, detect, check over, square up, insure, obtain, reassure, view, project, check up on, tick, tally, observe, get word, hold back, correspond, learn, study, mark off, incur, discipline, con, line up, image, tick off, visit, fit, regulate, arrest, disclose, memorize, turn back, examine, promise, fix, construe, reckon, instruct, go steady, hold, regain, agree, go over, get a line, run into, picture, meet, look, catch, catch out, contain, guarantee, attend, invent, influence, receive, check into, find oneself, suss out, watch out, train, happen, rule, date, get wind, hear, fancy, define, witness, square off, follow, match, keep an eye on, take care, checker, discern, bump, keep in line, specify, discover, acquire, command, gibe, break, look out, visualise, come up, settle, chequer, make up one's mind, jibe, run across, feel, envision, go out, visualize, descry, watch, get, take, hold in, mark, delay, check out, memorise, find, retard, look on, interpret, get hold, tell, notice, underwrite, secure, read

audit, substantiate, confirm, establish, demonstrate, determine, verify, find out, double-check, prove, assure, certify, check

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Usage examples:

• It was no easy thing to ascertain What kind of goods a ready sale would gain. - "The Emigrant Mechanic and Other Tales In Verse Together With Numerous Songs Upon Canadian Subjects", Thomas Cowherd.
• Tell me, Tuppy, I asked, for I was anxious to ascertain this, about Angela. - "Right Ho, Jeeves", P. G. Wodehouse.
• You may be sure that I should not be thus urgent had I not taken steps to ascertain that I am right in my judgment. - "The Eustace Diamonds", Anthony Trollope.