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Are all perfect square number are even numbers?
No, all perfect square numbers are not even numbers. Eg. the square of 3 is 9. (32=9) To generalize the proof: If p is odd then p=2n+1 and p2=(2n+1)2=4n2+4n+1=2(2n2+2n)+1 So odd numbers have odd square
What are the first 1000 odd numbers?
All the odd numbers between 1 and 2001.
Are all square numbers odd?
If the numbers that are squared are odd, then the squared number will be odd. For example: 32 = 9 72 = 49 172 = 289 132 = 169 212 = 441 And all even numbers that are squared result in an even number. For example: 22 = 4 82 = 64 102 = 100 282 = 784 302 = 900
What is the sum of all odd numbers from 1 to 12000?
The sum of all the odd numbers between 1 and 12000 is 36000000.
Are all odd square roots the square roots of odd numbers?
Yes, they are. Sketch of proof: Odd square root is a number x of form x = 2n + 1. Square of this root is: x2=(2n+1)2=4n2+4n+1=y, which can be expressed as: y=2(2n2+2n)+1. Let t = 2n2+2n. Then, y=2t+1, which is an odd number.
