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" Arrange the terms according to the powers of some one letter ; take the square root of the first term for the first term of the required root, and subtract its square from the given polynomial. "
The boys' algebra - Page 95
by James Cahill (of Dublin.) - 1875 - 209 pages
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Elements of algebra, by A. Ingram and J. Trotter

Alexander Ingram - 1844 - 262 pages
...ROOT OF A COMPOUND QUANTITY. Arrange the terms according to the dimensions of some letter in them, and take the square root of the first term for the first term of the root; subtract its square from the given quantity, and bring down the two next terms to the remainder...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - Algebra - 1844 - 272 pages
...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...
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An Elementary Treatise on Algebra: In which the Principles of the Science ...

Samuel Alsop - Algebra - 1846 - 300 pages
...expressed thus : Having arranged the terms commencing with the highest power of one of the quantities, Take the square root of the first term for the first term of the root. Subtract it» square from the given quantity, and set down the remainder, for a dividual. Divide...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 376 pages
...POLYNOMIAL. Having arranged the terms according to the powers of one of the letters, take the nía root of the first term for the first term of the required root. Subtract its power from the given quantity, and divide the first term of the remainder, by n times...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 380 pages
...-POLYNOMIAL. Having arranged the terms according to the powers of one of the letters, take the nth root of the first term for the first term of the required root, • Subtract its power from the given quantity, and divide the first term of the remainder, by n times...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1847 - 358 pages
...Art. 484. THE roots of compound quantities may be extracted by the following general rule: 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...
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The Elements of Algebra: Designed for the Use of Common Schools, Also ...

George Roberts Perkins - Algebra - 1848 - 234 pages
...RULE. I After arranging the polynomial according to the powers of some one of the letters, take the root of the first term for the first term of the required root, and subtract its square from the polynomial. II. Bring dawn the next two terms for a dividend. Divide it by twice the root just found,...
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A Treatise on Algebra: In which the Principles of the Science are Familiarly ...

Samuel Alsop - Algebra - 1848 - 336 pages
...expressed thus : Having arranged the terms commencing with the highest power of one of the quantities, Take the square root of the first term for the first term of the root. Subtract its square from the given quantity, and set down the remainder, for a dividual. Divide...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...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...
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A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - Algebra - 1849 - 348 pages
...following RULE. § 171. 1. Arrange the polynomial according to the powers of some letter. 2. Extract the root of the first term for the first term of the required root; and subtract its square from the given polynomial. 3. Double the part of the root already found, for a partial divisor ; and divide the first...
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