3 1? = 96 1, 32? = 1024, 33? = 1089 ,34? = 1 156 ,35? = 1225, 36? = 1296 ,37? = 1369 ,38? = 1444, 39? = 152 1 ,40? = 1600,
4 1? = 168 1, 42? = 1764 ,43? = 1849, 44? = 1936, 45? = 2025 ,46? = 2 1 16 ,47? = 2209 ,48? = 2304 ,49? = 240 1, 50? = 2500。
Square number (or complete square number) refers to a number that can be written as the square of an integer, that is, a number whose square root is an integer.
Square number is also called square number. If n is a square number, you can arrange n points into a rectangle to form a square. If the concept of square number is extended to rational number, the ratio of two square numbers is still square number, for example,
. If an integer does not have a square other than 1 as its factor, it is called a number without a square factor.
Pythagoras, a famous mathematician, discovered an interesting odd number phenomenon: adding consecutive odd numbers, each time the number obtained just produces a complete square number. Such as: 1+3(=2? ) + 5(=3? ) + 7(=4? ) + 9(=5? ) + 1 1(=6? ) + 13(=7? )……
There is a close and important relationship between odd number and square number. An integer is a perfect square number if and only if the same number of points can be arranged in a square grid on the plane, so that there are as many points in each row and column.