Question

How can we use radicals in real life?

Answer 1

Hint: In the above question, is based on the concept of what are the actual applications of using radicals in real life. It has applications in many fields like financial industries, architecture ,etc. It is applied even on the smallest things around us including things present in nature.

Complete answer:
When we think about radicals, or square roots of cubic roots, I guess you just think of a boring old algebra textbook, but it doesn't really have to be that way. Radicals in everyday life are used every day. In mathematics roots or radicals are the opposite operation of applying exponents. We can undo a power with a radical and vice-versa.

For example, if we square 2, we get 4, and if we take the square root of 4, we get 2
For example, that we can think of in everyday life would be to figure out, for example the European paper sizes are a good example of real-world usage of a radical.

The ratio of the length of the longer side of A4 paper to the shorter side is a good approximation of $\sqrt 2 $. As a result, a sheet of A4 size can be made into half and we get two smaller sheets (size A5) with the same proportions as the A4 sheet. So, in short everything around actually behaves as a radical expression.

Note: An important thing to note is that When you look at trees and the branches from the main trunk h is going to have the volume or the surface area of three quarters of the main trunk. So, if the main trunk has a volume of at this tree, the limb is going to be slightly smaller by one fourth power. So, it's going to be x to the three fourths power.