What's the square root of 49? Meaning, what number times itself is 49? If you answered 7, you're half-right. The complete answer is 7 and -7. 7 times itself is 49, and -7 times itself is 49. 49 is a perfect square, which is a number whose square root is a whole number. Like positive and negative 7, the square root of a number like 50 is going to end in a messy decimal amount that needs to be rounded off. 50 is an imperfect square. Let's take a quick look at estimating square roots. The square root of 921 is going to be a two-digit number. 20 squared is 400, 30 squared is 900, 40 squared is 1600. So, we know that the root of 921 is going to be somewhere between 30 and 40, and probably much closer to 30. 30 would be a good estimate. We can determine the square root of any number, perfect or imperfect, through the following method. It's very similar to traditional division. Let's find the square root of 576. The first step is to group the numbers in pairs radiating from the decimal point in both directions. In other words, starting right-to-left before the decimal and starting left-to-right after the decimal. After pairing, the single remaining digit on the end can be considered a group. Here are some examples of correct groupings. 576 is understood to be equal to five hundred seventy-six point zero, so we know where to start grouping. Find the square root of the first group, which is in this case, the single digit five. If it's not a perfect square, find the closest perfect square just below. The closest perfect square just below five is 4, which is 2 times 2. So, we write 2 as the divisor and 2...
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