How Are Radicals Used in Everyday Life?

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Radicals are used in everyday life in a wide variety of different ways that you may not even realize. Learn about how radicals are used in everyday life with help from an expert in mathematics in this free video clip.

Part of the Video Series: Radical Numbers
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Hey there, it's Dr. K. with "Infinite Magic Productions" and in today's episode we're going to learn about how we can apply radicals to everyday life. Now mostly when you think about radicals or square roots or cubic roots I guess you'd just think of a boring old Algebra textbook, but it doesn't really have to be that way. Radicals in everyday life are used, well everyday. So the easiest example of a radical that we can think of in everyday life would be to figure out for example the surface area of something. Let's say you're building a shelf and this shelf is going to look like this and it's going to have a certain surface area. Now in order to figure out the length of one side of the shelf, we're going to have to take the square root. So in this case we're going to take the square root of a surface area. We can make this example slightly more difficult and let's say we have something with a volume, we'll have a cube so let's say you want to build a house for example and the house is going to have a certain volume. So from this volume you're going to want to figure out the surface area of the house. So you want to know how tall you can build the ceilings and how big the house is going to be in terms of square footage. So here we're going to take the cubic root of the volume and that's going to give us the length of one of these sides so this side for example. From there you can figure out the rest. Now if we want to get even more complicated, let's say that your physician, I'm not sorry, not a physician, a physic's instructor or somebody that works on rockets or rates. So you have a flow rate through a pipe at a certain rate, let's say it's 30 cubic centimeters per minute, 30 CCs per minute, and that's the flow rate of fluid going through this pipe. So if we want to figure out for example how fast the fluid is moving through this pipe in a cross sectional view, or how fast it's going to take the fluid to go from this part of the pipe to this part of the pipe to this part of the pipe, it's taking it from this three dimensional view to a two dimensional view. So there we're going to have to use a radical once again to figure that out. So finally, I can leave you with this little number and that is that the radicals are used in everyday life because ourselves and everything in nature is pretty much made up with the concept of the Fibonacci Series Sequence or The Golden Rule and that is that everything in life is made up with the three quarter power rule and let's make it more applicable by saying for example, looking either at our veins or the way that trees grow or something like that or the way that snails lay down shells. We're going to look at trees for example and when a tree grows here is a tree growing. When it branches from the main trunk here, this is the main trunk, this branch 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 X, this tree limb is going to be slightly smaller by one fourth power. So it's going to be X to the 3/4ths power and it's the same if you think about veins for example. Your main veins that are going from your heart have a very large volume or surface area and when they branch out into your arms or even smaller to bring blood to yourselves they're going to get smaller and smaller and every time that they branch out and get smaller, they're going to get smaller with the radical of three quarters, so that's the Fibonacci Series. Now you can see that everyday life, the way that we grow, the way that nature behaves, is actually a radical expression. So go out there into nature and think about it. There you have it, that's how you can apply radicals to everyday life. Thanks for watching. I'm Dr. K.

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