What is "beto carotene" and how can it turn lakes pink?
The "beto" is a typing mistake. Beta is an organic chemistry label referring to a beta-ring of 6 carbons that exists at either end of a carotenoid polymer C40-Hx.

It is localized in the chloroplast. The plants don't really have a mechanism to release pigments, they can re-metabolize chlorophyll. The volvocalean algea Dunaliella salina is used to harvest beta-carotene in Karratha, Western Australia, from salt lakes. The can have 12% beta-carotene as dry-matter content, the highest of any known source.  The squares are probably salt. 

the algea afterwards:


There are over 1,100 known carotenoids of which at least 700 have been identified in plants. They include carotene and xanthophylls, and carotene include beta-carotene. The plants and algea use it to protect themselves from intense sunlight and UV's. It is an anti-oxidant. 


Pink doesn't actually exist as a color. It is imagined when green and blue light is sensed by the eye, while red is at a maximum. In the lakes, we know there is 80% red and 20% green pigment in the algea. All that is required would be 20% blue to percieve pink. I don't know where the blue color comes from, the sky/water.
Orange is complex for the eye, and so is pink, because we can only see red green and blue.