 | Jeremiah Day - Algebra - 1814 - 304 pages
...powers of one of the letters, so that the highest power shall stand first, the next highest next, Sic. Take the root of the first term, for the first term of the required root: Subtract the power from the given quantity, and divide the first term of the remainder, by the first... | |
 | Enoch Lewis - Algebra - 1826 - 180 pages
...63. CASE 3. 38. To extract any root of a compound quantity. Arrange the terms as before directed ; take the root of the first term for the first term of the root, and subtract its power from the given quantity. Take for a divisor, twice this root, three times... | |
 | Jeremiah Day - Algebra - 1827 - 352 pages
...powers of one of the letters, so that the highest power shall stand first, the next highest next, &c. Take the root of the first term, for the first term of the required root : Subtract the power from the given quantity, and divide the first term of the remainder, by the first... | |
 | Alexander Ingram - Mathematics - 1830 - 458 pages
...— 1. = x'—Sxa + a1. *• ; 6. , 78. TO EXTRACT ANY OTHER ROOT. Arrange the terms as in Division ; take the root of the first term for the first term of the root ; raise this root to a power less by one than the given power, and multiply it by the name of... | |
 | Mathematics - 1836 - 488 pages
...same manner, without any variation, except in the signs. To extract the roots of compound quantities, take the root of the first term, for the first term of the required root. Subtract the power from the given quantity, and divide the first term of the remainder by the first... | |
 | James Bryce - Algebra - 1837 - 322 pages
...the next highest second, and so on ; 2°- find (Art. 104) the root of the first term, set it down as the first term of the required root, and subtract its square from the given quantity; 3°- take the quotient of the first term of the remainder by double the portion of... | |
 | James Bates Thomson - Algebra - 1844 - 272 pages
...extracted by the following RULE. I. Arrange the terms of tfie given quantity according to the powers of one of the letters, take the root of the first term,...the first term of the required root, and subtract the power from the given quantity. II. Bring down two other terms for a dividend. Divide by double... | |
 | James Bates Thomson - Algebra - 1844 - 266 pages
...the following RULE. I. Arrange the terms of the given quantity according to the powers of one of tht letters, take the root of the first term, for the first term of the required root, and subtract the power from the given quantity. II. Bring down two other terms for a dividend. Divide by double... | |
 | James Bates Thomson - Algebra - 1844 - 272 pages
...of one of the letters, so that the highest power shall stand first, the next highest next, Sfc. II. Take the root of the first term, for the first term of the required root. III. Subtract the power from the given quantity, and divide the first term of the remainder by the... | |
 | Alexander Ingram - 1844 - 262 pages
...2a6 + 6a+2ac+26c+c2) = a+b + c. 7. ' 8. TO EXTRACT ANY OTHER ROOT. Arrange the terms as in Division ; take the root of the first term for the first term of the root ; raise this root to a power less by one than the given power, and multiply it by the name of... | |
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Divide it by twice the root just found, and add the quotient both to the root and to the divisor. Multiply the divisor thus increased, into the term last placed in the root, and subtract the product from the dividend. 
