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Books Books 1 - 10 of 29 on Required the second root of x". 14. Required the fifth root of d3. 15. Required the....  
" Required the second root of x". 14. Required the fifth root of d3. 15. Required the 8th root of a3. 210. a. The rule in the preceding article may be applied to every case in evolution. But when the quantity whose root is to be found, is composed of several... "
Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ... - Page 121
by James Bates Thomson - 1844 - 252 pages
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The popular educator

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...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

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...
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An introduction to algebra: being the first part of a course of mathematics ...

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)*...
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An introduction to algebra: being the first part of a Course of mathematics ...

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...
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Elements of Algebra

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...
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Elements of Algebra: Tr. from the French of M. Bourdon, for the ..., Volume 1

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...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

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...
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An Introduction to Algebra ...

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...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

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...
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Elements of Algebra: Tr. from the French of M. Bourdon

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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