| Popular educator - History - 1852
...preceding article may be applied to every case in evolution. But when the quantity whoso root is to bo **found is composed of several factors, there will frequently...advantage in taking the root of each of the factors** sefarately. This is done upon the principle that the root of the product of several f of tor» is equal... | |
| Jeremiah Day - Algebra - 1814 - 303 pages
...facttors. The latter is effected, by dividing the mdex mto parts. 259. The rule in art. 257, may be **applied to every case in evolution. But when the quantity...This is done upon the principle, that the root of the** preftuct of several factors, is equal to the product of their roots. Thus Va6=v/axv/6. For each member... | |
| Jeremiah Day - Algebra - 1820 - 332 pages
...of involving a quantity which consists of several factors, depends on the principle, that the power **of the product of several factors is equal to the product of their** powers. Thus (ay)* = a3y*. For by art. 210 ; (ay)* =ay Kay. But ayxay= ay ay = aayy z=a*y*. So (bmx)*... | |
| Jeremiah Day - Algebra - 1827 - 332 pages
...factors. The latter is effected, by dividing the index into parts. 259. The rule in art. 257, may be **applied to every case in evolution. But when the quantity...advantage in taking the root of each of the factors** teparatdy. This is done upon the principle, that the root of the product of several factors, is equal... | |
| M. Bourdon (Louis Pierre Marie) - Algebra - 1831 - 304 pages
...just established for the calculation of radicals are founded chiefly upon the principle, that the nth **root of the product of several factors is equal to the product of** the n"' roots of these factors, and the demonstration of this principle depends upon this, if the powers... | |
| M. Bourdon (Louis Pierre Marie) - Algebra - 1831 - 389 pages
...rules just demonstrated for the calculus of radicals, principally depend upon the fact that the n** **root of the product of several factors is equal to the product of** the n'* roots of these factors ; and the demonstration of this principle depends upon this: When the... | |
| Jeremiah Day - Algebra - 1832 - 332 pages
...factors. The latter is effected, by dividing the index into parts. 259. The rule in Art. 257, may be **applied to every case in evolution. But when the quantity...done upon the principle that the root of the product** tif several factors, is equal to the product of their roots: Thus \/ab = \/a X \/b. For each member... | |
| Jeremiah Day - 1832
...of involving a quantity which consists of several factors, depends on the principle, that the power **of the product of several factors is equal to the product of** theiv powers. Thus (ay)3=a* y\ For by Art. 210 ; (oy)3=«yxoyBut oyxfly=ayoy=aayy=:o*y'So (bmxY=bmxxt»nxxbmx=bbbmmmxxx... | |
| Jeremiah Day - Algebra - 1835 - 332 pages
...factors. The latter is effected, by dividing the index into parts. 259. The rule in Art. 257, may be **applied to every case in evolution. But when the quantity whose root is to be found, is** ^pmposed of several factors, there will frequently be an advantage in taking the root of each of the... | |
| M. Bourdon (Louis Pierre Marie) - Algebra - 1835 - 353 pages
...rules just demonstrated for the calculus of radicals, principally depend upon the fact that the nlh **root of the product of several factors is equal to the product of** the nlh roots of these factors; and the demonstration of this principle depends upon this:When the... | |
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