 It is founded on the following principle. The square root of the product of two or more factors, is equal to the product of the square roots of those factors.  Elements of Algebra - Σελίδα 106των Bourdon (M., Louis Pierre Marie) - 1831 - 304 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Bourdon (M., Louis Pierre Marie) - 1831 - 446 σελίδες
...radicals of the second degree. 84. 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, v 'abed. . .= Va. -./b. Vc. Vd. . . . To demonstrate this principle,... | |
 | Charles Davies - 1835 - 378 σελίδες
...125. These expressions may sometimes be simplified, upon the principle that, the square root of tlie product of two or more factors is equal to the product of the square roots of these factors ; or, in algebraic language, Vabcd . . . = ^«• v/i- Vc. ^/d. . . . To demonstrate this principle,... | |
 | A. Turnbull - 1836 - 368 σελίδες
...~ 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 » =... | |
 | Charles Davies - 1839 - 272 σελίδες
...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...equal to the product of the square roots of these factors ; or, in algebraic language, * . -\fabcd . . . r^-y/a . -\/ b . -y/ c . -y/d . . . This being... | |
 | Charles Davies - 1839 - 264 σελίδες
...also, sometimes called Surds. These expressions may often be simplified, upon the principle that, tJne 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, \/al>cd . . . =-y/a . -y/ b . -y/e . -y/ d . . i This being the... | |
 | Charles Davies - 1842 - 284 σελίδες
...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...equal to the product of the square roots of these factors ; or, in algebraic language, •\/abcd . . . — -\/a . V 'b . -y/c . -v/d . . . This being... | |
 | Charles Davies - 1842 - 368 σελίδες
...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, V'abed . . . = i/a. i/b. -^/c. i/d. . . . To demonstrate this principle,... | |
 | Davis Wasgatt Clark - 1844 - 394 σελίδες
...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... | |
 | Charles Davies - 1845 - 382 σελίδες
...it follows, that the quantities themselves are equal : hence, -\Jabcd = ya . yb . yc . yd; that is, The square root of the product of two or more factors is equal to the product of the square roots of those factors. This being proved, we can write I In like manner, X 5bd = 3abc -V/864a265cil = v/144a264cio... | |
 | Charles William Hackley - 1846 - 544 σελίδες
...can frequently be simplified by the application of the following principle : The square root of ike product of two or more factors is equal to the product of the square roots of these factors. Or, in algebraic language, Vabcd ..... = -/ax V&X VcX V~d- ---- • In order to demonstrate... | |
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