1 00:00:00,540 --> 00:00:03,730 We're asked to find the square root of 100. 2 00:00:03,730 --> 00:00:05,130 Let me write this down bigger. 3 00:00:05,130 --> 00:00:09,060 So the square root is this big check-looking thing. 4 00:00:09,060 --> 00:00:11,880 The square root of 100. 5 00:00:11,880 --> 00:00:13,650 When you see it like this, this means the 6 00:00:13,650 --> 00:00:15,120 positive square root. 7 00:00:15,120 --> 00:00:16,850 If you're familiar with negative numbers, you know 8 00:00:16,850 --> 00:00:19,490 that there's also a negative square root, but when you just 9 00:00:19,490 --> 00:00:22,700 see this symbol, that means the positive square root. 10 00:00:22,700 --> 00:00:24,570 So let's think about what this is saying. 11 00:00:24,570 --> 00:00:28,090 This is asking us find the number, the positive number, 12 00:00:28,090 --> 00:00:34,350 that when I multiply that number by itself, I get 100. 13 00:00:34,350 --> 00:00:37,700 So what number when I multiply it by itself do I get 100? 14 00:00:37,700 --> 00:00:40,220 Well, let's see, if I multiply 9 by itself, that's 15 00:00:40,220 --> 00:00:41,580 only going to be 81. 16 00:00:41,580 --> 00:00:44,280 If I multiply 10 by itself, that is 100. 17 00:00:44,280 --> 00:00:46,800 So this is equal to-- and let me write it this way. 18 00:00:46,800 --> 00:00:48,740 Normally, you could skip this step. 19 00:00:48,740 --> 00:00:51,470 But you could write this as the square root of-- and 20 00:00:51,470 --> 00:00:56,610 instead of 100, 100 is the same thing as 10 times 10. 21 00:00:56,610 --> 00:00:58,960 And then you know, the square root of something times 22 00:00:58,960 --> 00:01:00,890 itself, that's just going to be that something. 23 00:01:00,890 --> 00:01:03,240 This is just equal to 10. 24 00:01:03,240 --> 00:01:06,720 So the square root of 100 is 10. 25 00:01:06,720 --> 00:01:09,330 Or another way you could write, I guess, this same 26 00:01:09,330 --> 00:01:16,520 truth is that 10 squared, which is equal to 10 times 10, 27 00:01:16,520 --> 00:01:20,000 is equal to 100.