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" These expressions may often be simplified, upon the principle that, the square root of the product of two or more factors is equal to the product of the square roots of... "
Elementary Algebra: Embracing the First Principles of the Science - Page 145
by Charles Davies - 1850 - 279 pages
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Elements of Algebra: Tr. from the French of M. Bourdon, for the ..., Volume 1

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 446 pages
...quantity is introduced into the calculus by affecting it with the sign V , and it is written thus, V^Sa64. Quantities of this kind are called radical quantities,...quantities, or simply radicals of the second degree. 84. These expressions may sometimes be simplified, upon the principle that the square root of the product...
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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - Algebra - 1835 - 378 pages
...is introduced into the calculus by affecting it with the sign V , and it is written thus, V98ab°. Quantities of this kind are called radical quantities,...quantities, or simply radicals of the second degree. 125. These expressions may sometimes be simplified, upon the principle that, the square root of tlie...
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Arithmetic made easy

A. Turnbull - Arithmetic - 1836 - 368 pages
...~ represent a fraction in its least terms. Then . a *.'aa \/ab 820. The root of any number which is the product of two or more factors, is equal to the product of the roots of these separate factors. Thus \/ab — \/a X ,,/b. If o = 10 and b — 9, then */ Hi X » =...
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Elements of Algebra

Algebra - 1838 - 372 pages
...is introduced into the calculus by affecting it with the sign V , and it is written thus, •v9Sai4. Quantities of this kind are called radical quantities,...quantities, or simply radicals of the second degree. 125. These expressions may sometimes be simplified, upon the principle that, the square root of the...
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 264 pages
...introduced into the calculus by affecting it with the sign -y/ , and it is written thus : _ •y/98afrl. Quantities of this kind are called radical quantities,...may often be simplified, upon the principle that, tJne square root of the product of two or more factors is equal to the product of the square roots...
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Elements of Algebra

Bourdon (M., Louis Pierre Marie) - Algebra - 1839 - 368 pages
...irrational quantities, or simply radicals of the second degree. 125. These expressions may sometimes be simplified, upon the principle that, the square root of the product of two or more factors » equal to the product of the square roots of these factors ; or, in algebraic language, Vabcd . ....
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1840 - 264 pages
...introduced into the calculus by,affecting it with the sign y , and it is written thus : -V/98«64. Quantities of this kind are called radical quantities,...square root of the product of two or more factors w equal to the product of the square roots of these factors ; or, in algebraic language, Jyabcd . ....
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Elements of Algebra

Charles Davies - Algebra - 1842 - 368 pages
...quantity is introduced into the calculus by affecting it with the sign V , and it is written thus, V98ai*. Quantities of this kind are called radical quantities,...quantities, or simply radicals of the second degree. 125. These expressions may sometimes be simplified, upon the principle that, the square root of the...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...rule for the involution of monomials, let the following proposition be demonstrated, viz. : The power of the product of two or more factors is equal to the product of their powers. Let («6)2 represent the second power of the product of two factors, And a262 the product...
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...introduced into the calculus by affecting it with the radical sign y' , and written thus, y'sQab*. Quantities of this kind are called radical quantities,...quantities, or simply radicals of the second degree, These expressions may sometimes be simplified. For, by the definition of the square root, we have X...
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