Verbseoul.
하다 verb
정복하다jeongbokhadato conquer

To say to conquer politely in the present tense, use 정복해요 (chuhng-boh-kae-yoh). Below is the full conjugation of 정복하다 across the three tenses and three everyday speech levels.

Conjugation table

TenseCasual (반말)Polite (요)Formal (합니다)
Present
정복해
chuhng-boh-kae
정복해요
chuhng-boh-kae-yoh
정복합니다
chuhng-boh-kahm-nee-dah
Past
정복했어
chuhng-boh-kae-ssuh
정복했어요
chuhng-boh-kae-ssuh-yoh
정복했습니다
chuhng-boh-kae-sseum-nee-dah
Future
정복할 거야
chuhng-boh-kahl- -guh-yah
정복할 거예요
chuhng-boh-kahl- -guh-yae-yoh
정복할 겁니다
chuhng-boh-kahl- -guhm-nee-dah

Other useful forms

Command Polite (세요)
정복하세요
chuhng-boh-kah-sae-yoh
Suggestion / Let's Polite (요)
정복해요
chuhng-boh-kae-yoh
Question Polite (요)
정복해요?
chuhng-boh-kae-yoh-?
Connective “and” — (고)
정복하고
chuhng-boh-kah-goh
Conditional “if” — (면)
정복하면
chuhng-boh-kah-myuhn
Noun form — (기)
정복함
chuhng-boh-kahm