 | Mathematics - 1801 - 446 pages
...of 2. .L 3 And 33, or v/3*' s'gn»fies the cube root of the square of 3 ; where the numerator shews the power, to which the quantity is to be raised, and the denominator its root. PROBLEM •» PROBLEM I. fc redact a rpliopal quantity to the form of a turd, Raise the quantity... | |
 | John Bonnycastle - Algebra - 1811 - 230 pages
...v/2, denotes the'square root of 2, and 3 the cube root of the square of 3 j where the numerator shows the power to which the quantity is to be raised, and the denominator its root. PROBLEM I. To reduce a rational quantity to the form of a surd. RULE. Raise the quantity... | |
 | Charles Hutton - Mathematics - 1811 - 406 pages
...square root of 3 ; and 2^ or 1/21, or ^/t, the cube root of the square of 2 ; where the numerator shows the power to which the quantity is to be raised, and the denominator its root. PROBLEM I. To Reduce a Rational Quantity to the Form of a Surd. RAISE the given quartity... | |
 | Charles Hutton - Mathematics - 1812 - 620 pages
...square root of 3 ; and 2~* or &21, or ^4, the cube root of the squaieotS; where the numerator shows the power to which the quantity is to be raised, and the denominator its root. PROBLEM I. To Redufe a Rational Quantity' to the Form of a Surd. RAISE the given quantity... | |
 | Charles Hutton - Mathematics - 1822 - 616 pages
...iquare root of 3 ; and 23 or ^/23, or ^/4, the cube root of the square of 2 ; where the numerator shows the power to which the quantity is to be raised, and the denominator its rootPROBLEM I. To Reduce a Rational Quantity to the Form of a Surd. RAISE the given quantity to... | |
 | James Ryan - Algebra - 1826 - 430 pages
...called irrational quantities, or surds. It may be observed that the numerator of the exponent shows the power to which the quantity is to be raised, and the •• . m denominator its root. Thus, an is the nth root of the mth power of a, and is usually read... | |
 | Peter Nicholson - Algebra - 1831 - 326 pages
...usually expressed by the radical sign, or by fractional indices : in the latter case, the numerator shows the power to which the quantity is to be raised, and the denominator its root. Thus,- Zja", or «T denotes the cube root of the square of a, m and y am, or a" is the nth... | |
 | Charles Davies - Algebra - 1835 - 378 pages
...exponents, in the extraction of the roots of monomials. In such expressions, the numerator indicates the power to which the quantity is to be raised, and the denominator, the root to be extracted. Therefore, ya?=a° ; °Jd'=a*. In like manner, suppose it is required to divide... | |
 | Algebra - 1838 - 372 pages
...exponents, in the extraction of the roots of monomials. In such expressions, the numerator indicates the power to which the quantity is to be raised, and the denominator, the root to be extracted. Therefore, 2/aa=a3 ; \fa'=a4. In like manner, suppose it is required to divide... | |
 | Thomas Grainger Hall - 1840 - 266 pages
...quantity as a having a fractional index, we must remember that the numerator of the fraction expresses the power to which the quantity is to be raised, and the denominator the root which is to be extracted. m Thus a» is to be understood as meaning the Mth root of the mth power... | |
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Fractional exponents are used to denote both involution and evolution in the same expression, the numerator indicating the power to which the quantity is to be raised, and the denominator the required root of this power. Thus, the expression a* signifies... 
