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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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Related Questions

What square numbers add together to make 100?

36 and 64


How do you figure the sum of squares?

Square the numbers and then add them together. Example: 62 + 82 = 36 + 64 = 100


There are some numbers that can make a square Find all of these numbers up to 100?

1;2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21.22.23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100


What two square numbers add todether to make 100?

The two square numbers that add together to make 100 are 36 and 64. Specifically, (6^2 = 36) and (8^2 = 64). When you add them together, (36 + 64 = 100).


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.


How many not square numbers less than 100?

There are nine square numbers including 1 below 100 (1x1...9x9). So, there are 99 - 9 'not square numbers' below 100 which is 90


How do you figure geometric mean?

GM of two numbers is the square root of their product: eg GM of 4 and 25 = sqrt 100 = 10


How many square numbers between 1 and 100?

There are 10 square numbers


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


Square numbers to 100?

1,4,9,16,25,36,49,64,81,100


What is all the square numbers up to 100?

All of the square numbers 1-100 are 1(1x1), 4(2x2), 9(3x3), 16(4x4), 25(5x5), 36(6x6), 49(7x7), 64(8x8), 81(9x9), 100(10x10). If you can't figure those out than sorry :v0 haha for you