Approximating Square Roots

Okay, so this might seem kinda challenging at first.. Sometimes it is, but I’m here to help. First of all, if you have to find a square root, you want to find the two closest whole number square roots. Let’s use the number 50 for example.  You’d find the smallest, but closest whole number square root to 50. That’d be 49, because 7×7=49. Then, the same for the other side. 8×8=64. So, then you need to decide if it’ll be closer to your smaller or larger number. In this case, it’s closer to 7 because 49 is only 1 away from 50. Once you do that, you’ll have to play around with some decimals. Since it’s closer to the smaller number, we know it’ll be under 7.5

I’ll try 7.1 since it seems close to 50. 7.1×7.1=50.41 This was a pretty simple one, but let’s say we had 52 or something. You’d still keep the numbers 7 and 8, but you’d change the decimal. It’s obviously not going to be 7.1, but you can try 7.3 If that’s still not close enough, you can try 7.4 If you’re number’s bigger than 52, then you’d want to go down a number on the decimal part. (ex: if 7.3 was bigger, you’d try 5.2)

Hope I helped, if you have any questions just comment below.

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