# Prove that if c Â is odd ,Â Â then Â (ab/c) = (a/c)(b/c) Â Â Â Â Â Â Â Â

Not what you're looking for? Search our solutions OR ask your own Custom question.

Prove that if c Â is odd ,Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â

Â Â Â then Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â

Â Â Â Â Â Â (ab/c) = (a/c)(b/c) Â Â Â Â Â Â Â Â Â Â Â

The problem is also in the attached file.

Â© BrainMass Inc. brainmass.com March 5, 2021, 1:29 am ad1c9bdddfhttps://brainmass.com/math/number-theory/593063

#### Solution Summary

This solution explains the extension of Legendre symbol (a/p). Â Â Â

Â Â The solution is given in detail. Â Â Â

Â Â This is mainly for explaining Legendre symbol can extended to getÂ Â the Jacobi symbol.

$2.49