Display title | Brahmagupta's identity |
Default sort key | Brahmagupta's identity |
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Page ID | 37542 |
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Page creator | imported>Steve Marsio |
Date of page creation | 22:09, 8 February 2024 |
Latest editor | imported>Steve Marsio |
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Article description: (description ) This attribute controls the content of the description and og:description elements. | In algebra, Brahmagupta's identity says that, for given $ n $, the product of two numbers of the form $ a^{2}+nb^{2} $ is itself a number of that form. In other words, the set of such numbers is closed under multiplication. Specifically:
$ {\begin{aligned}\left(a^{2}+nb^{2}\right)\left(c^{2}+nd^{2} |