This is not generally true in the abstract, but the specific form of most Constitutional republics, including the US, is basically representative democracy, though sometimes (as in the US) with skewed voting power, and democratic values (coupled with fear of the volatility and excesses of direct or unconstrained democracy) was fairly central to the founding ideology of the United States.
Read this over and over until you believe you can simply change the meaning of words
https://www.washingtonpost.com/news/volokh-conspiracy/wp/201...
All democratic governments today allow decisions to be made even over the dissent of a minority of voters.
Whereas the (Republic) Constitution and the Bill of Rights protect (or are supposed to protect) the individual rights.
The individual being the smallest minority.
This is the difference I see. It is a small difference with a huge impact.
John Locke
[Civic power] can have no right except as this is derived from the individual right of each man to protect himself and his property. The legislative and executive power used by government to protect property is nothing except the natural power of each man resigned into the hands of the community…and it is justified merely because it is a better way of protecting natural right than the self-help to which each man is naturally entitled.[1]:532
China is a republic but not a democracy. Canada is a democracy and not a republic.
The United States shall guarantee to every State in this Union a Republican Form of Government, and shall protect each of them against Invasion; and on Application of the Legislature, or of the Executive (when the Legislature cannot be convened), against domestic Violence.
ARTICLE IV, SECTION 4