For example, not every number in the field of rational numbers with ordinary addition and multiplication has square root.
Is there a special name for a field where each number has a square root? Can anyone help provide some reference? Thank you!
2026-05-03 20:17:56.1777839476
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Is there a special name for a field where each number has a square root?
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If you are interested in ordered fields in which every positive element has a square root, then you are looking for Euclidean fields.
Yes, those fields are called quadratically closed fields.