Q: What was a Muslim achievement in math?

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Algebra

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No, achievement is an abstract noun.

There is no adverb form of achieve or achievement.

The Arabs produced the numbers we use, they named most of the stars that have names, plus they invented algebra. They also were the first to question and verify answers.

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The interesting achievement of the Muslim Empire led to the preservation of various prehistorical sites and led to discovery of some medicine.

The question as written makes no sense. If you mean "What was the most important Muslim scientific achievement?", see the Related Question below.

I think that the greatest achievement was art, science and technology.

The Muslims invented/discovered the concept of zero.

A very big one is medicine

Scholarly achievement is something that he she accomplish, like for example he/she did make a story about someone's life and that is consider achievement. What about something that he/she finish professional goals.

He created the math and geometry

Art and architecture, science and math, but also writing and oral traditions.

Algebra

it gave them a chance to teach the kids to learn there culture and math properly

Islam is a religion and Math is a subject. Math is the same everywhere. The Muslims did great service in the field of Maths. Algebra has been the chief subject the Muslims contributed a lot.

They collected, translated, and studied old texts on math, etc.