Can you use the hot water bath for canning pickled beets? Carrots?

I use the hot water bath method for all vegetables. Pressure canner I use for meat because it reaches a higher temp.

Tick

If it's pickled, yes.

Can you use the hot water bath for canning pickled beets? carrots?

You can use a water bath for pickled vegetables since the vinegar creates a high acid situation.
Do not use a water bath canner for plain low acid vegies, carrots, green beans etc... it is not safe at all-you would need to pressure can these vegies and all meats.
I would pick up a Ball Blue book to help you can it is inexpensive and available in a lot of places. I buy a new one every couple of years-has great recipes too. Happy Canning:)