Explore related knowledge and questions →
← Question derivation index · Original question batch
R0055-28260 · q-20261003-r01-power-root-0085
The real principal square root in this exercise is defined only for nonnegative inputs. Does r=-3 belong to its domain? Answer Yes or No.
G001 — The real principal square root in this exercise is defined only for nonnegative inputs. Does r=-3 belong to its domain? Answer Yes or No.Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.
Before
source roles = [qf-principal-square-root-domain, sqrt_domain]
After
derived = [[real_principal_root_domain_yes_no]]
Conditions: none
List this scalar/label/set/point answer role or mode-specific ordered fields,not an imposed universal tuple.Retain legacy domain/underscore operation and integer fractions with/1;original bilingual snapshots stay unchanged.
Rule: source_answer_roles_or_ordered_fields_without_JS · Uses: G001
Before
source roles = [-3]
After
derived = [No, No]
Conditions: none
The real principal-root domain is r>=0.A negative input receives only a domainNo,not0 or a substituted complex branch.
Rule: Legacy_real_principal_root_domain_negative_NO_assigned_root · Uses: G001, S001
S002 · premise_and_result_audit — Reverse-check complete original data,operands and premises;finite checks,conditional reasoning,formal proof and publication authority remain distinct.S001 · premise_and_result_audit — Reverse-check complete original data,operands and premises;finite checks,conditional reasoning,formal proof and publication authority remain distinct.No
The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.
Review date: 2026-10-26
Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.
input commit: 0f7be61e2c22317a4075561dc822c87d881a50dboriginal question SHA-256: c8c1278220b57c7232307ec30c230e2db66ebac2c89560ebd48e9f17d84c5ec8candidate record SHA-256: 9e3ae86f82bcf75d407bf82fcd55f8fbf5a5dd3a77baac939bda029c110d2ea1semantic review receipt SHA-256: 6af367dae24a584f3596525c4953bbc2115343efd68cc9083693eb5c1ef2e683question-first witness SHA-256: 611eb69f3716404b968296a8b0d7d8c61b5ca18129d406f1ff9c7c11e10ffb4eLean: NOT_RUN · human review: NOT_PERFORMED