Thread:GalaxE/@comment-34012245-20191209010131/@comment-36159587-20191214064524

Finding The Square Roots of Perfect Squares / Finding The Squares of Whole Numbers

1. Use squares/square roots of tens to find out the range of the answer

2. Use square of five between the tens' range to limit the range further

3. Find the numbers' ending numbers to find either the square root or squared product

e.g. Find the square root of 256.

1. 10^2 is 100, and 20^2 is 400, therefore, the square root of 256 is between 10 and 20.

15^2 is 225. 256>225, so the square root of 256 > 15.

2. 6^2 = 36, 7^2 = 49, 8^2 = 64, 9^2 = 81.

256 ends with a 6. The only products/factors here ending with a 6 would be (recall the square root of 256 is between 15 and 20) between 15, 16, 17, 18, 19, and 20.

Thus, the answer is 16.

3. The square root of 256 is 16.

-Galaxian-