Brahmagupta's identity
id:
brahmagupta-s-identity-280-6796969
title:
Brahmagupta's identity
text:
In algebra, Brahmagupta's identity says that, for given n , the product of two numbers of the form a 2 + n b 2 is itself a number of that form. In other words, the set of such numbers is closed under multiplication. Specifically: Both (1) and (2) can be verified by expanding each side of the equation. Also, (2) can be obtained from (1), or (1) from (2), by changing b to −b. This identity holds in both the ring of integers and the ring of rational numbers, and more generally in any commutative ri
brand slug:
wiki
category slug:
encyclopedia
description:
The product of two numbers of the form a^2+nb^2 is itself a number of that form
original url:
https://en.wikipedia.org/wiki/Brahmagupta%27s_identity
date created:
date modified:
2024-02-02T13:55:23Z
main entity:
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