WEBVTT 00:00:00.000 --> 00:00:00.540 00:00:00.540 --> 00:00:03.730 We're asked to find the square root of 100. 00:00:03.730 --> 00:00:05.130 Let me write this down bigger. 00:00:05.130 --> 00:00:09.060 So the square root is this big check-looking thing. 00:00:09.060 --> 00:00:11.880 The square root of 100. 00:00:11.880 --> 00:00:13.650 When you see it like this, this means the 00:00:13.650 --> 00:00:15.120 positive square root. 00:00:15.120 --> 00:00:16.850 If you're familiar with negative numbers, you know 00:00:16.850 --> 00:00:19.490 that there's also a negative square root, but when you just 00:00:19.490 --> 00:00:22.700 see this symbol, that means the positive square root. 00:00:22.700 --> 00:00:24.570 So let's think about what this is saying. 00:00:24.570 --> 00:00:28.090 This is asking us find the number, the positive number, 00:00:28.090 --> 00:00:34.350 that when I multiply that number by itself, I get 100. 00:00:34.350 --> 00:00:37.700 So what number when I multiply it by itself do I get 100? 00:00:37.700 --> 00:00:40.220 Well, let's see, if I multiply 9 by itself, that's 00:00:40.220 --> 00:00:41.580 only going to be 81. 00:00:41.580 --> 00:00:44.280 If I multiply 10 by itself, that is 100. 00:00:44.280 --> 00:00:46.800 So this is equal to-- and let me write it this way. 00:00:46.800 --> 00:00:48.740 Normally, you could skip this step. 00:00:48.740 --> 00:00:51.470 But you could write this as the square root of-- and 00:00:51.470 --> 00:00:56.610 instead of 100, 100 is the same thing as 10 times 10. 00:00:56.610 --> 00:00:58.960 And then you know, the square root of something times 00:00:58.960 --> 00:01:00.890 itself, that's just going to be that something. 00:01:00.890 --> 00:01:03.240 This is just equal to 10. 00:01:03.240 --> 00:01:06.720 So the square root of 100 is 10. 00:01:06.720 --> 00:01:09.330 Or another way you could write, I guess, this same 00:01:09.330 --> 00:01:16.520 truth is that 10 squared, which is equal to 10 times 10, 00:01:16.520 --> 00:01:20.000 is equal to 100. 00:01:20.000 --> 00:01:20.734