[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.54,0:00:03.73,Default,,0000,0000,0000,,We're asked to find the\Nsquare root of 100.
Dialogue: 0,0:00:03.73,0:00:05.13,Default,,0000,0000,0000,,Let me write this down bigger.
Dialogue: 0,0:00:05.13,0:00:09.06,Default,,0000,0000,0000,,So the square root is this\Nbig check-looking thing.
Dialogue: 0,0:00:09.06,0:00:11.88,Default,,0000,0000,0000,,The square root of 100.
Dialogue: 0,0:00:11.88,0:00:13.65,Default,,0000,0000,0000,,When you see it like this,\Nthis means the
Dialogue: 0,0:00:13.65,0:00:15.12,Default,,0000,0000,0000,,positive square root.
Dialogue: 0,0:00:15.12,0:00:16.85,Default,,0000,0000,0000,,If you're familiar with negative\Nnumbers, you know
Dialogue: 0,0:00:16.85,0:00:19.49,Default,,0000,0000,0000,,that there's also a negative\Nsquare root, but when you just
Dialogue: 0,0:00:19.49,0:00:22.70,Default,,0000,0000,0000,,see this symbol, that means\Nthe positive square root.
Dialogue: 0,0:00:22.70,0:00:24.57,Default,,0000,0000,0000,,So let's think about what\Nthis is saying.
Dialogue: 0,0:00:24.57,0:00:28.09,Default,,0000,0000,0000,,This is asking us find the\Nnumber, the positive number,
Dialogue: 0,0:00:28.09,0:00:34.35,Default,,0000,0000,0000,,that when I multiply that number\Nby itself, I get 100.
Dialogue: 0,0:00:34.35,0:00:37.70,Default,,0000,0000,0000,,So what number when I multiply\Nit by itself do I get 100?
Dialogue: 0,0:00:37.70,0:00:40.22,Default,,0000,0000,0000,,Well, let's see, if I multiply\N9 by itself, that's
Dialogue: 0,0:00:40.22,0:00:41.58,Default,,0000,0000,0000,,only going to be 81.
Dialogue: 0,0:00:41.58,0:00:44.28,Default,,0000,0000,0000,,If I multiply 10 by itself,\Nthat is 100.
Dialogue: 0,0:00:44.28,0:00:46.80,Default,,0000,0000,0000,,So this is equal to-- and let\Nme write it this way.
Dialogue: 0,0:00:46.80,0:00:48.74,Default,,0000,0000,0000,,Normally, you could\Nskip this step.
Dialogue: 0,0:00:48.74,0:00:51.47,Default,,0000,0000,0000,,But you could write this as\Nthe square root of-- and
Dialogue: 0,0:00:51.47,0:00:56.61,Default,,0000,0000,0000,,instead of 100, 100 is the same\Nthing as 10 times 10.
Dialogue: 0,0:00:56.61,0:00:58.96,Default,,0000,0000,0000,,And then you know, the square\Nroot of something times
Dialogue: 0,0:00:58.96,0:01:00.89,Default,,0000,0000,0000,,itself, that's just going\Nto be that something.
Dialogue: 0,0:01:00.89,0:01:03.24,Default,,0000,0000,0000,,This is just equal to 10.
Dialogue: 0,0:01:03.24,0:01:06.72,Default,,0000,0000,0000,,So the square root\Nof 100 is 10.
Dialogue: 0,0:01:06.72,0:01:09.33,Default,,0000,0000,0000,,Or another way you could write,\NI guess, this same
Dialogue: 0,0:01:09.33,0:01:16.52,Default,,0000,0000,0000,,truth is that 10 squared, which\Nis equal to 10 times 10,
Dialogue: 0,0:01:16.52,0:01:20.00,Default,,0000,0000,0000,,is equal to 100.