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Prove that the sum of two consecutive square numbers between 1 2 to 8 2 is an

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Prove that the sum of two consecutive square numbers between 12 to 82 is an odd number.

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Lets start by listing the consecutive square numbers between 12 and 82 12 1 22 4 32 9 42 16 52 25 62 ...View the full answer


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Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

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Related Video

The square of a number is the result of multiplying that number by itself. This is also known as \"raising a number to the power of 2\" or \"squaring a number\". The concept of squaring a number is important in many areas of mathematics and science, including geometry, trigonometry, and physics. It is also used in computer programming and data analysis. The square of a number is always positive, except for the square of 0, which is 0. When a negative number is squared, the result is positive. For example, the square of -3 is 9, since (-3) x (-3) = 9. To square a two-digit number, you can use the following formula: (A x 10 + B)^2 = A^2 x 100 + 2AB x 10 + B^2 Where A represents the tens digit and B represents the ones digit of the two-digit number. In this video, you can learn a fascinating math technique to quickly compute the square of any two-digit number. This trick involves three simple steps that enable you to arrive at the answer in a matter of seconds. The video demonstrates this method using three different examples, and you can try it out yourself and share your score in the comments section. You can also see how other students are performing using this technique.

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