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" Resolve the quantity under the radical sign into two factors, one of which is the greatest perfect power of the same degree as the radical. "
Eaton's Elementary Algebra, Designed for the Use of High Schools and Academies - Page 155
by William Frothingham Bradbury - 1875
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1820 - 352 pages
...the principle here stated, imaginary expressions may be easily prepared for calculation, by resolving the quantity under the radical sign into two factors, one of which is — 1 ; thereby reducing the imaginary part of the expression to J- 1 . As-a=+x — 1, the expression...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - Arithmetic - 1822 - 536 pages
...form of the fourth root. Ans.'vjj /,' i, 2. Surds are reduced to their most simple terms, by resolving the quantity under the radical sign into two factors, one of which shall be a complete power of the given root ; and then placing the root of this power before ihe other...
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 332 pages
...the root of which can be extracted. To reduce radicals to their simplest form. RULE. (55.) Decompose the quantity under the radical sign into two factors, one of which shall be a perfect power of the root to be extracted ; then extract the root of this factor, and multiply...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...Thus, v/8^6 =v/4a2x2&=v/4a~2xv/2l>=2a And, And, Hence, to reduce radicals to their simplest forms : 1. Resolve the quantity under the radical sign into two factors, one of which shall be a complete power of the same name as the root. 2. Extract the root of this factor, and multiply...
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...•J'&c?o = v/ 4a 2 x 26 = V 4a* x V 26=2a And, And, Hence, to reduce radicals to their simplest forms: 1. Resolve the quantity under the radical sign into two factors, one of which shall be a complete power of the same name as the root. 2. Extract the root of this factor, and multiply...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1847 - 358 pages
...the principle here stated, imaginary expressions may De easily prepared for calculation, by resolving the quantity under the radical sign into two factors, one of which it -I; thereby reducing the imaginary part of the expression to Vl. As -o=-f-ax -1 the expression...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1850 - 356 pages
...principle here stated, imaginary expressions may De easily prepared for calculation, by resolving Ike quantity under the radical sign into two factors, one of which is -l ; thereby reducing the imaginary part of t he expression to Vl. As —a = -\-ax - 1, the expression...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Electronic book - 1855 - 592 pages
...factor may be removed from under the radical sign, and placed as a co-efficient, thus : Resolve Ihc quantity under the radical sign into two factors, one of which is the creates! perfect n'J power which enters as a factor ; extract the n'* root of this factor, and place...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Mathematics - 1857 - 608 pages
...values. 1. A factor may be removed from under he radical sign, and placed as a co-efficient, hus : Resolve the quantity under the radical sign into two factors, one of which is the greatest oerfcct n" power which enters as a factor ; extract the n1* root of this factor, and place it as a...
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - Algebra - 1857 - 408 pages
...in a similar manner, we have, for the simplification of a radical of the '* degree, the following RULE. Resolve the quantity under the radical sign into two factors, one of which shall be the greatest perfect nth power which enters it; extract the nth root of this factor, and write...
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