I like math.
When I was a kid, numbers were my version of toy cars. Equations, of action figures. Things I could break down and put back together.
I come off as weird. I prefer unique.
"Ew, you like math? How nerdy."
"Yeah yeah. Now. How much were y...
So I just realized that our trilogy needs to be a pentology. So, it's time to go back to the root of all powers.
No, not these roots.
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Square roots.
The square root of 4 is 2. Why is it a square? Why are they roots? Well, it's pretty simple.
Square refers to the numbers made to make the number. And roots, well, we're going back to the number's roots. 4's square root is 2 because 2 * 2 is 4. See? The 2 numbers are the same. So, they make a square.
There's also cubic/cube roots. It's the same thing, but it's made of 3 numbers instead of 2. An example is 8. It's cubic root is 2 because 2 * 2 * 2 is 8.
There's also fourth roots. And fifth. And sixth. But those are probably for a mini chapter (a chapter full of mini facts).
There's simplifying roots. Take the square root of 8. You can split it into 2, 2, and 2. We need to take out 2 of the same number in order to take it out of the root. So, now we have 2 root 2. I can't type it, but I can show you what it looks like.
*image fails to load*
Oh.
When you multiply radical expressions (the two things at the top of the image below), you multiply the numbers outside and the numbers inside the radical separate.
*finds a slightly better one*
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In here, you can see that 3*2 is 6, and 6*2 is 12, so it's 6 root 12. But, you can separate the root so it's easier to simplify. In this image, you'll see that they split the 12 into 4 and 3. Why? Because we know the root of 4. It's 2. Because 2*2 is 4. So we break it into 2 root 3 * 6, and 6 is like 6 root 1. So multiply again and you get the answer, 12 root 3.
Here's a non image example.
6 root 8 * 5 root 9
We should stop right here. 6 root 8 can be broken into 12 root 2, because you take out a 4, and 5 root 9 becomes 15.
So, it's actually...
12 root 2 * 15,
...which is a LOT easier.
Answer: 180 root 2
Why was this useful? Find out in the next installment of power, where we learn about-
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