All right, right now we're going to talk about square and square roots. All right, and let's define them. A square is the number multiplied by itself. All right? So for instance, when I say two to the second power is two times two. And we know when we multiply two times two, the answer is four.

This right here, like I show you is called the exponent. And we're going to have a little bit more on exponents in the next section, but right now that all I want you to know is that number here, that small number that I'm pointing to right there is called an exponent. A square is the number Multiplied by itself. All right, a square root really is the opposite of a square. So a square root is I'm putting the number here, and, and this little sign here looks like an awkward division sign. It's called the radical sign.

But the square root is the number that I'm looking for when it's multiplied by itself will give me the number here. All right, so like I say, here, a square root of a number is that number which when multiplied by itself, equals the original number. All right on on this chart here, I am showing you on the numbers here from zero to 10 And when we square them, we get these values here. So for instance, zero times zero is 01 times one is one, two times two is four, three times three is nine, and so forth. Four times four is 16. I, and I'm showing you this from zero to 10.

And on this portion of my chart, you'll see this is called what a radical sign. All righty. And so for instance, the square root of zero is zero. The square root of one is one, the square root of four is two. The square root of nine is three, the square root of 16 is four and so forth. All right.

So I just wanted to show you this. And quite honestly, it might be very beneficial, if you can. I don't want to use the term memorize, but make yourself very, very familiar with this because this will help you out. No matter what you do. Now I know this is called math for electronics. It'll help you out with that.

And I'm sure it will help you out with other vocations. So make yourself familiar with this. If I don't want to say memorize it, but that would be a good idea. All right. Let me clear the slide and we're going to go off to the next next slide here. Okay, we're still on square and square roots right here.

I know I preach but on this case, we're going to make an exception because the longhand method for finding a square route is so convoluted it's it's recommended that we use a calculator when I went was going to school many, many years ago. And just it was the transition when calculators had just come out and they were very expensive. We had charts that we could look up for the square root of a number. So we're going to use a calculator to get the square root and the square. One of the things I'd like to mention though, is to estimate the answer. For instance, for instance, I give you an example right here.

89 If you remember the chart that I gave you before, nine squared was 81, and 10 squared was 100. So I can estimate the answer. I know that the square root of 89 is going to be somewhere between nine and one Hundred, and I can get an idea. So when I, what I do use the calculator, if I get some outlandish answer, I'm saying it's not not correct. So for instance, if I have a calculator and I want to find the square root of 89, and I get 554. Well, I know I've done something wrong.

Maybe I hit two keys at the same time or didn't go in this the correct sequence. All right, so we can estimate the answer or we can just do it on a calculator. Look at it if it looks a little funny then kind of estimating in our head. All right, so let's clear up the slide here. And let's go on to the next slide. All right, well, I'm going to show you how to use a calculator right now to find these problems.

All right here, we're going to do these. Alright, so let me bring down my calculator and I'm using the one. I'm using the one that comes with the operating system here. So you should have one very similar. Or you can use a, you can use one, a handheld one that you can buy, they're pretty much similar. So let's do this 112 squared.

So all I do is type in 12, right here, and as my x squared where x is any number that I put in, so let's look at that. Ah 144. So I know that 12 squared is 144. Okay, let's look look at the next one here. 23 squared. So again, 23 hit the X squared 529 Okay, don't forget hit.

Don't forget to hit the get clear button. And here's the next 125 squared. Okay? So I do 25 hit the X is 625. I've got a problem there I put a two. I'll fix that right now.

The answer 25 squared is 625. Okay, hit the clear button again. And we're going to do a square root. So let's look at the other 125 right there. 25 equals, so let's put in 25. And here's my radical sign, and it's five so the square root of 25 is five.

Okay, hit declare sign. Next one square root of 152 152 Here we go. Ah, we got a decimal. So we're going to go to two decimal places. All right, so my answer is 12 dot three, two. All right, let's clear the screen and last one square root of 191 191 square root, another repeating decimal and we go to two places.

That's 13 dot a two. All right, let's clear it net. That's up. That's pretty much it. I mean, you can rewind this look at it again. And on the next slide, I'm going to give you a couple to do with your calculator.

Again, I'm using this calculator. Here is the one that comes in the Windows operating system. You can use that you can go run down to the store and buy one there. They're cheap. If you probably can buy a battery powered one for five or $6, or maybe less, I've seen some in the dollar store for $1. So it's a good idea to make yourself very familiar with it.

And that's it. So we'll see on the next slide, I'll give you some examples. Okay, here's some quick exercises for you. Pull out your calculator and do them. 12 squared equals what? 30 squared equals what?

37 Squared equals what? And the bottom here, the square root of 36, square root of 144 and the square root of 198. So stop the recording. Put the numbers in your calculator, get the answers and when you turn it back on the next slide, we'll have the answers Okay, here are the answers. 12 squared is 144 30 squared is 937 squared is 1369 36. The square root of 36 is six.

The square root of 144 is 12. And the square root of 198 is 14 07. All right, we're going to stop this section now. And we're off to a new section. So we'll see you there and take care