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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. "
Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ... - Página 136
por Charles Davies - 1860 - 400 páginas
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - 1871 - 404 páginas
...radical of the second degree : I. JZesolve the quantity under the radical sign into two factor 's, one of which shall be the greatest perfect square...sign, under which place the other factor. EXAMPLES. 1. Reduce ^/7§ci*hc to its simplest form, 2. Ileduce J 128b5aGd2 to its simplest form. 8. Reduce J 32a9b8c...
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Manual of Algebra

William Guy Peck - 1875 - 348 páginas
...radicals may be simplified; hence, the following rule for reducing a radical to its simplest form: RULE. Resolve the quantity under the radical sign into two factors, one of which is the greatest perfect power of the degree indicated. Extract the required root of this factor, and...
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New Elementary Algebra: Containing the Rudiments of the Science for Schools ...

Horatio Nelson Robinson - 1875 - 340 páginas
...simplest form of the radical. From these illustrations we deduce the following RULE. — I. Separate the quantity under the radical sign into two factors, one of which is the greatest perfect power corresponding in degree to the radical. EEDUCTION. EXAMPLES FOR PRACTICE....
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The Complete Algebra: Embracing Simple and Quadratic Equations, Proportion ...

Edward Olney - 1877 - 466 páginas
...Redactions. 217. frob. 1, To simplify a radical by removing a factor. B ULE. — RESOLVE THE NUMBER UNDER THE RADICAL SIGN INTO TWO FACTORS, ONE OF WHICH SHALL BE A PERFECT POWEB OF THE DEGREE OF THE RADICAL. EXTRACT THE REQUIRED ROOT OF THIS FACTOR AND PLACE IT...
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Bradbury's Elementary Algebra: Designed for the Use of High Schools and ...

William Frothingham Bradbury - 1877 - 280 páginas
...perfect square 25 a2, and annex to this root the factor remaining under the radical. Hence, RULE. Besolve the quantity under the radical sign into two factors, one of which is the greatest perfect power of tJie same name as the root. Extract the root of the perfect power,...
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The Complete Algebra: Embracing Simple and Quadratic Equations, Proportion ...

Edward Olney - 1878 - 516 páginas
...Beductions. 217, PTObt 1. To simplify a radical by removing a factor. RULE. — RESOLVE THE NUMBEB UNDER THE RADICAL SIGN INTO TWO FACTORS, ONE OF WHICH SHALL BE A PERFECT POWER OF THE DEGREE OF THE RADICAL. EXTRACT THE REQUIRED HOOT OF THIS FACTOR AND PLACE IT...
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New Elementary Algebra: Designed for the Use of High Schools and Academies

Benjamin Greenleaf - 1879 - 350 páginas
...under the sign ; and thus we obtain 3a2 ¿ \/5b, the simplest form of the radical. Hence the RULE. Resolve the quantity under the radical sign into two factors, one of which shall contain all the perfect powers of the same degree as the radical. Extract the required root of this...
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University Algebra

Webster Wells - 1879 - 468 páginas
...2 = (Art. 266) v/ 16 x у/2 = 4 y/2, Ans. 2. Reduce \/54 a4 ж to its simplest form. 3 x Ans. RULE. 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. Extract the required root of this...
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New Elementary Algebra: Containing the Rudiments of the Science for Schools ...

Horatio Nelson Robinson - 1879 - 332 páginas
...simplest form of the radical. From these illustrations we deduce the following RULE. — I. Separate the quantity under the radical sign into two factors, one of which is the greatest perfect power corresponding in degree to the radical. SEDUCTION. EXAMPLES FOR PRACTICE....
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A University Algebra

Edward Olney - 1880 - 354 páginas
...REDUCTION. 198, Prob. 1. — To simplify a radical by removing a factor. RULE. — RESOLVE THE NUMBER UNDER THE RADICAL SIGN INTO TWO FACTORS, ONE OF WHICH SHALL BE A PERFECT POWER OF THE DEGREE OF THE RADICAL. EXTRACT THE REQUIRED ROOT OF THIS FACTOR AND PLACE IT...
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