Square Roots of Imperfect Squares

Hey, this post is about how to find the square root of 44.

The way you would figure out the square root of 44 would be first to figure out the square roots of the perfect square numbers around it. To figure that out we would figure out what 5*5 is.

5*5=25 which is too low of a number so you would then go to 6*6. 6*6=36 which is near 44.

But we need to find another the perfect square number that goes around it.

7*7=49, which is also near 44. Since we found the whole number square roots around 44, we then can move on.

The next step is to figure out if 44 is closer to 36 or 49. 44 is closer to 49 which mean the decimal would be closer to 7 than 6. I predict that it will be 6.6.

6.6 * 6.6 = 43.56

That seems about correct but we could test it by going up .1.

6.7 * 6.7 = 44.89

This means that 6.6 * 6.6 is right because 6.7 * 6.7 is too high of a product by just a few decimals.