寝たら

why don't you go to sleep?, if you sleep, when you sleep

→ 寝る
寝 to sleep + た Past tense + ら Conditional (if/when)
verb · informal Rare #36,066
why don't you go to sleep? When used as a question, this form can make a suggestion.
JA: もう寝たら?
EN: Why don't you go to bed now?
if you sleep, when you sleep
JA: 遅く寝たら、朝起きられない。
EN: If I go to bed late, I can't get up in the morning.
Conjugation of 寝る

窓開けたまま寝たら駄目だよ。

You shouldn't sleep with the window open.

いい加減に寝たら。

Why don't you go to bed already?

眠いけど今寝たら明日のテストがやばい。

I'm sleepy, but if I go to sleep now, I'll be screwed for tomorrow's test.

ベッドで寝たら?

Why don't you sleep in bed?

— マルホランド・ドライブ (2001)

寝たら?

Why don't you go to sleep?