The 2 by 2 cube is a smaller version of the 3 by 3 cube, and it can be solved using a
variety of different methods.

One of the most popular methods is the Ortega method, which uses only a few simple algorithms to solve the cube in just a few moves. The Ortega method is particularly well-suited to beginners, as it is relatively easy to learn and requires no special equipment.

Another popular method is the Fridrich method, which is more advanced and requires the use of a mirror cube. However, the Fridrich method is generally considered to be more efficient than the Ortega method, as it allows for faster solves. Whichever method you choose, with a little practice you will be solving the 2 by 2 cube in no time at all!

For those who are looking for a faster solution, the Roux method is often considered to be the best option.

The Roux method is named after its creator, Gilles Roux. It involves using two different algorithms to first create what is known as an "LBL" (left-behind-left) corner, and then an "RUF" (right-up-front) corner. Once these corners are in place, the rest of the cube can be solved relatively quickly. The Roux method is considered to be much faster than the Fridrich method, and it is often used by competitive speedcubers. [Read More - https://www.cubelelo.com/collections/2x2-speed-cubes]