Verbseoul.
하다 verb (adj)
궁금하다gunggeumhadato be curious

To say to be curious politely in the present tense, use 궁금해요 (goong-geum-hae-yoh). Below is the full conjugation of 궁금하다 across the three tenses and three everyday speech levels.

Conjugation table

TenseCasual (반말)Polite (요)Formal (합니다)
Present
궁금해
goong-geum-hae
궁금해요
goong-geum-hae-yoh
궁금합니다
goong-geum-hahm-nee-dah
Past
궁금했어
goong-geum-hae-ssuh
궁금했어요
goong-geum-hae-ssuh-yoh
궁금했습니다
goong-geum-hae-sseum-nee-dah
Future
궁금할 거야
goong-geum-hahl- -guh-yah
궁금할 거예요
goong-geum-hahl- -guh-yae-yoh
궁금할 겁니다
goong-geum-hahl- -guhm-nee-dah

Other useful forms

Command Polite (세요)
궁금하세요
goong-geum-hah-sae-yoh
Suggestion / Let's Polite (요)
궁금해요
goong-geum-hae-yoh
Question Polite (요)
궁금해요?
goong-geum-hae-yoh-?
Connective “and” — (고)
궁금하고
goong-geum-hah-goh
Conditional “if” — (면)
궁금하면
goong-geum-hah-myuhn
Noun form — (기)
궁금함
goong-geum-hahm