Square numbers and square roots - By tecmath
Transcript
| 00:0-1 | good day in this lesson . What we're going to | |
| 00:01 | be having a look at is square numbers , squares | |
| 00:03 | and square roots . And these are pretty easy , | |
| 00:05 | but a really important thing for you to understand when | |
| 00:07 | you're doing maths . So first off a square number | |
| 00:11 | , a square number is a number which is multiplied | |
| 00:14 | by itself . And they call it a square number | |
| 00:16 | . Because if you can imagine a square , I'll | |
| 00:18 | draw a square . Okay , So we have a | |
| 00:20 | square there and we were working at the area of | |
| 00:23 | this number . What we do is we go the | |
| 00:24 | length times the width . Yeah . So say the | |
| 00:27 | length of this number was two m and the width | |
| 00:30 | of it was two m . The way we work | |
| 00:32 | this out as we go to times too , and | |
| 00:35 | this would be equal 24 Okay , so this is | |
| 00:38 | what a square number is . It's just a number | |
| 00:40 | multiplied by itself . But we have a bit of | |
| 00:42 | a shortcut for this using index notation . What we're | |
| 00:46 | saying is we would say here that this is too | |
| 00:49 | to the power of two , which is equal to | |
| 00:52 | four . Okay , This is to multiply by itself | |
| 00:55 | two times . So what about another example here , | |
| 00:59 | another example of a square number we could think of | |
| 01:02 | say being uh , what's this ? How would you | |
| 01:06 | write ? Seven squared ? So you could say , | |
| 01:09 | okay , this is seven squared , which is equal | |
| 01:12 | to seven times seven . Okay , pretty simple . | |
| 01:15 | Which is equal to 49 . And that's all square | |
| 01:18 | numbers . Are there fairly simple ? Don't get too | |
| 01:20 | thrown by them . But it's a very , very | |
| 01:22 | important thing to do . I think a lot of | |
| 01:24 | mistakes a lot of students make is they look and | |
| 01:26 | go , this is just seven times to know . | |
| 01:28 | We wanted to write seven times to weed right seven | |
| 01:30 | times to this means Seven multiplied by itself two times | |
| 01:35 | seven times 7 . So the opposite of a square | |
| 01:38 | number is a square root . So let me show | |
| 01:41 | you the way that these look here . So we | |
| 01:43 | know that seven squared equals seven times seven which is | |
| 01:46 | equal to 49 . The square root would be written | |
| 01:50 | like this , so pretty much a square root of | |
| 01:52 | 49 would be equal to seven . What number do | |
| 01:56 | we multiply by itself To get 49 here ? And | |
| 02:00 | that's what we're asking with ? The square root . | |
| 02:02 | What number do we multiply by itself to get that | |
| 02:05 | number here ? So I'll give you another example here | |
| 02:08 | . What is the square root of 100 ? What | |
| 02:12 | number do you multiply by itself to get 100 ? | |
| 02:16 | And you could say , Okay , the answer of | |
| 02:18 | this is 10 because 10 Times 10 is equal to | |
| 02:23 | 100 here . Okay , and we could write this | |
| 02:25 | 10 times 10 as 100 squared . So hopefully you | |
| 02:29 | got that . It's a nice , simple little idea | |
| 02:32 | , but really Easy 1 to get muddled up with | |
| 02:35 | just once again , understand that this squared here means | |
| 02:39 | 10 multiplied by itself . Okay ? Thanks for watching | |
| 02:44 | . We'll see you next time . |
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Square numbers and square roots is a free educational video by tecmath.
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