| W. H. Spiller - Algebra - 1835 - 210 pages
...20 , 1521 2401 39 49 extracting the root, . . . y — — = ± — ; whence x(= REDUCTION OF SURDS. PROBLEM I. To reduce a Rational Quantity to the Form of a Surd. Page 147. Ex.3. Here, (aV)* = a'Vs; .-. aV = VA4 Ex.4. Here, £> = £ .-.^ = (-^ \,pj yu pi Vy'V •... | |
| Andrew Bell (writer on mathematics.) - 1839 - 500 pages
...(201.) Surds are said to be similar when they consist of the same quantity under the same radical sign.1 I. To reduce a rational quantity to the form of a surd. (202.) ' Raise the quantity to a power denoted by the exponent of the proposed surd, and then place... | |
| John D. Williams - Algebra - 1840 - 634 pages
...2 ; j^/o2! or a , the cube of the square of a, and a", is the with root of the nth power of a. CASE I. To reduce a rational quantity to the form of a Surd. EITLE. Raise the quantity to a power corresponding with that denoted by the index of the sard to which... | |
| John D. Williams - Algebra - 1840 - 216 pages
...&c- ' ana when a quantity of this kind consists only of two terms, it is called a binomial surd. CASE I. To reduce a rational quantity to the form of a surd. Rule. Raise the quantity to the power denoted by the root of the surd, and over this new quantity place... | |
| John Bonnycastle - Algebra - 1851 - 288 pages
...extracting the square root, being 1 and certain non-periodic decimals, which never terminate. CASE I. To reduce a rational quantity to the form of a surd. RULE._Raise the quantity to a power corresponding with that denoted by the index of the surd; and over... | |
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