0:00:00.000,0:00:00.540 0:00:00.540,0:00:03.730 We're asked to find the[br]square root of 100. 0:00:03.730,0:00:05.130 Let me write this down bigger. 0:00:05.130,0:00:09.060 So the square root is this[br]big check-looking thing. 0:00:09.060,0:00:11.880 The square root of 100. 0:00:11.880,0:00:13.650 When you see it like this,[br]this means the 0:00:13.650,0:00:15.120 positive square root. 0:00:15.120,0:00:16.850 If you're familiar with negative[br]numbers, you know 0:00:16.850,0:00:19.490 that there's also a negative[br]square root, but when you just 0:00:19.490,0:00:22.700 see this symbol, that means[br]the positive square root. 0:00:22.700,0:00:24.570 So let's think about what[br]this is saying. 0:00:24.570,0:00:28.090 This is asking us find the[br]number, the positive number, 0:00:28.090,0:00:34.350 that when I multiply that number[br]by itself, I get 100. 0:00:34.350,0:00:37.700 So what number when I multiply[br]it by itself do I get 100? 0:00:37.700,0:00:40.220 Well, let's see, if I multiply[br]9 by itself, that's 0:00:40.220,0:00:41.580 only going to be 81. 0:00:41.580,0:00:44.280 If I multiply 10 by itself,[br]that is 100. 0:00:44.280,0:00:46.800 So this is equal to-- and let[br]me write it this way. 0:00:46.800,0:00:48.740 Normally, you could[br]skip this step. 0:00:48.740,0:00:51.470 But you could write this as[br]the square root of-- and 0:00:51.470,0:00:56.610 instead of 100, 100 is the same[br]thing as 10 times 10. 0:00:56.610,0:00:58.960 And then you know, the square[br]root of something times 0:00:58.960,0:01:00.890 itself, that's just going[br]to be that something. 0:01:00.890,0:01:03.240 This is just equal to 10. 0:01:03.240,0:01:06.720 So the square root[br]of 100 is 10. 0:01:06.720,0:01:09.330 Or another way you could write,[br]I guess, this same 0:01:09.330,0:01:16.520 truth is that 10 squared, which[br]is equal to 10 times 10, 0:01:16.520,0:01:20.000 is equal to 100. 0:01:20.000,0:01:20.734