Abū Kāmil Shujā ibn Aslam (Egypt, 10th century) in particular was the first to accept irrational numbers (often in the form of a square root, cube root or fourth root) as solutions to quadratic equations or as coefficients in an equation.
Abū Kāmil Šujā ibn Aslam (Misra, 10e temede nawatay) dǎɣ təbiɗawt eqal wadazaran ye tiridawt ən maɗinan ən irrationnel (agudiyan daw əmik ən azar ogdahan, ən azar ən əubique meɣ ən azar wasikoz) sund əliɣitan ɣur alɣisaban quadratiquetan meɣ sund koeffisientan dǎɣ alɣisab iyan.