The Real Number & Surd Architecture

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Across
  1. 2. The name of the ancient Greek philosopher credited with constructing the geometric continuous square root spiral made out of contiguous unit-leg right triangles
  2. 5. The strict logical method used to rigorously prove the irrationality
Down
  1. 1. A historical geometric term used to describe two lengths that do not share a common fractional measure, directly leading to the discovery of irrationality
  2. 2. A sub-category of irrational numbers (such as \(\pi \) or \(e\)) that cannot be expressed as the root of any algebraic polynomial equation with integer coefficients
  3. 3. The specific algebraic expression, variable, or scalar value that sits entirely underneath the protective roof of a radical root sign
  4. 4. The small integer n nestled in the hook of a radical that dictates the specific order of the surdsign