The Square Root of 32

Last week we learned how to find the square root of irrational numbers. At first I didn’t get it, then it started getting easier as we practiced more. So let’s try to do one.

Let’s say we need to try to find the square root of 32. First we figure out what rational numbers are around it. For 32 it would be 36 and 25, because 5*5 is 25 and 6*6 is 36. Since the number is closer to 36, the decimal is closer to 6.

Now we need to multiply decimals around 5.5 to 5.9 to see if they equal 32 or close to.

5.6*5.6=31.36,    5.7*5.7=32.49,    5.8*5.8=33.64

So we can conclude that the square root of 32 is around 5.7.

One thought on “The Square Root of 32

  1. Good job Wesley. What sq root would give you a value of approximately 5.5? Did you compare sq root of 32 to that middle number? It may have saved you some time computing decimals. Just my 2 cents!

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