#### Sentence Examples

• Since the fraction is infinite it cannot be commensurable and therefore its value is a quadratic surd number.
• Surd as a Power 8.3 86.
• Consideration of the binomial theorem for fractional index, or of the continued fraction representing a surd, or of theorems such as Wallis's theorem (ï¿½ 64), shows that a sequence, every term of which is rational, may have as its limit an irrational number, i.e.
• Conversely every positive quadratic surd number, when expressed as a simple continued fraction, will give rise to a recurring fraction.
• Muir, The Expression of a Quadratic Surd as a Continued Fraction (Glasgow, 1874).