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Start at 1. That is a Square. Add 3 to make 4 (another square) . Keep on adding successive odd numbers, and each time you will have another square. To understand this think of 9 dots arranged in 3 rows ( a 3 x 3 square). To make the next square you have to add n dots along the top, n dots down the side, and 1 extra in the corner. Thats 2n+1 dots. You originally had n2 . Now you have (n+1)2 simply by adding the odd number 2n+1. Recall that (n+1)2 = n2+2n+1. This is the basis for an old method for finding square roots.
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How do you figure the sum of squares?
Square the numbers and then add them together. Example: 62 + 82 = 36 + 64 = 100
What square numbers add together to make 100?
36 and 64
What makes square numbers square numbers?
By definition, a number is square if it is the product of some whole number and itself. For example, 9 is a square number, because it is 3 times 3.100 is square, since 100=10x10.They are called square numbers, because that many stones could be neatly arranged in a square. 9 stones would make a 3 by 3 square, and 100 stones would make a 10x10.
What two square numbers make 100?
81 and 9 if you add them. 4 and 25 if you multiply them.
How to find the square root?
Two of the same numbers that can be multipied and make a number example: the square root of 100 is 10 because 10 multipied by 10 = 100
