| Jeremiah Day - Algebra - 1820 - 352 pages
...the principle here stated, imaginary expressions may be easily prepared for calculation, by resolving **the quantity under the radical sign into two factors, one of which is** — 1 ; thereby reducing the imaginary part of the expression to J- 1 . As-a=+«x — 1, the expression... | |
| Nicolas Pike - Arithmetic - 1822 - 536 pages
...form of the fourth root. Ans.'vjj /,' i, 2. Surds are reduced to their most simple terms, by resolving **the quantity under the radical sign into two factors, one of which** shall be a complete power of the given root ; and then placing the root of this power before ihe other... | |
| Silas Totten - Algebra - 1836 - 332 pages
...the root of which can be extracted. To reduce radicals to their simplest form. RULE. (55.) Decompose **the quantity under the radical sign into two factors, one of which** shall be a perfect power of the root to be extracted ; then extract the root of this factor, and multiply... | |
| Davis Wasgatt Clark - 1844 - 394 pages
...Thus, v/8^6 =v/4a2x2&=v/4a~2xv/2l>=2a And, And, Hence, to reduce radicals to their simplest forms : 1. **Resolve the quantity under the radical sign into two factors, one of which** shall be a complete power of the same name as the root. 2. Extract the root of this factor, and multiply... | |
| Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...•J'&c?o = v/ 4a 2 x 26 = V 4a* x V 26=2a And, And, Hence, to reduce radicals to their simplest forms: 1. **Resolve the quantity under the radical sign into two factors, one of which** shall be a complete power of the same name as the root. 2. Extract the root of this factor, and multiply... | |
| Jeremiah Day - Algebra - 1847 - 358 pages
...the principle here stated, imaginary expressions may De easily prepared for calculation, by resolving **the quantity under the radical sign into two factors, one of which** it -I; thereby reducing the imaginary part of the expression to Vl. As -o=-f-ax -1» the expression... | |
| Jeremiah Day - Algebra - 1850 - 356 pages
...principle here stated, imaginary expressions may De easily prepared for calculation, by resolving Ike **quantity under the radical sign into two factors, one of which is** -l ; thereby reducing the imaginary part of t he expression to Vl. As —a = -\-ax - 1, the expression... | |
| Charles Davies, William Guy Peck - Electronic book - 1855 - 592 pages
...factor may be removed from under the radical sign, and placed as a co-efficient, thus : Resolve Ihc **quantity under the radical sign into two factors, one of which is the** creates! perfect n'J power which enters as a factor ; extract the n'* root of this factor, and place... | |
| Charles Davies, William Guy Peck - Mathematics - 1857 - 608 pages
...values. 1. A factor may be removed from under he radical sign, and placed as a co-efficient, hus : **Resolve the quantity under the radical sign into two factors, one of which is the greatest** oerfcct n" power which enters as a factor ; extract the n1* root of this factor, and place it as a... | |
| Charles Davies - Algebra - 1857 - 408 pages
...in a similar manner, we have, for the simplification of a radical of the »'* degree, the following **RULE. Resolve the quantity under the radical sign into two factors, one of which** shall be the greatest perfect nth power which enters it; extract the nth root of this factor, and write... | |
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