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" Resolve the quantity under the radical sign into two factors, one of which is the highest perfect power of the same degree as the radical. Extract the required root of this factor, and prefix the result to the indicated root of the other. "
Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ... - Page 215
by Charles Davies - 1860 - 400 pages
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Durell's Algebra: Two Book Course. Book One, Book 1

Fletcher Durell - 1914 - 458 pages
...Ex. 2. Simplify 5л/l8aW. Sл/lSaW = 5\/9a262c4x2ac= 15a6c2л/2Öc Ans. Hence, in general, Separate 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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A First Book in Algebra

Fletcher Durell, Elmer Ellsworth Arnold - Algebra - 1919 - 344 pages
...2. Simplify 5 V18 5 V18 a?Ъг<? = 5 л/9 aW x 2 ac = 15 a6c2V2ac. Ans. Hence, in general, Separate 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 Embracing the First Principles of the Science

Charles Davies - Algebra - 1891 - 312 pages
...a radical of the nth degree, that is, of any degree, we have the rule : — Resolve the expression under the radical sign into two factors, one of which shall be a perfect nth power. Extract the nth root of the perfect nth, power, and then multiply this root by...
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