How do i rationalize fractions with square roots to their simplest form

The depth of a lake at a certain point, wich is a function of the distance of that point from shore, is 30 feet.

Aregular hexagon rotates counterclockwise about its center. it turns through angles greater than 0° and less than or equal to 360°. at how many different angles will the hexagon map onto itself?

The number of branches on a tree demonstrates the fibonacci sequence. how many branches would there be on the next two levels of this tree? 13 | | | m branches