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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... "
Elementary Algebra: Embracing the First Principles of the Science - Page 167
by Charles Davies - 1861 - 303 pages
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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

Bourdon (M., Louis Pierre Marie) - Algebra - 1839 - 368 pages
...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 - 1839 - 272 pages
...-\/ , and it is written thus : Quantities of this kind are called radical quantities, or irrational quantities, or simply radicals of the second degree. They are also, sometimes called Surds. These expressions may often be simplified, upon the principle that, the square root of the product...
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1840 - 264 pages
...second degree. They are also, sometimes called Surds. These expressions may often be simplified, upon the principle that, the 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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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 284 pages
...-y/ , and it is written thus: Quantities of this kind are called radical quantities, or irrational quantities, or simply radicals of the second degree. They are also, sometimes called Surds. These expressions may often be simplified, upon the principle that, the square root of the product...
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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: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 374 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 (ab) 2 represent the second power of the product of two factors, And aV the product...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 376 pages
...+ x' is the index of that power of the base a which is equal to NN' j that is to say, The logarithm of the product of two or more factors is equal to the sum of the logarithms of tho2e factors. Hence \ve see that if it is required to multiply two or more...
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1846 - 542 pages
...together, NN'=a'a" =a"+" .-. by definition, r+x' is the logarithm of NN' ; that is to say, The logarithm of the product of two or more factors is equal to the sum of the logarithms of those factors. II. Divide equation (1) by (2). N_o« N'=o" =a'-". .•. by...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 380 pages
...+ x. is the index of that power of the base a which is equal to NN' j that is to say, The logarithm of the product of two or more factors is equal to the sum of the logarithms of those factors. Hence we see that if it is required to multiply ^wo or more...
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