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

Cover An Introduction to Algebra Being the First Part of a Course of Mathematics Ada
An Introduction to Algebra Being the First Part of a Course of Mathematics Ada
Jeremiah Day
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253. ] And the nth power of a n, is an =a. That is, 289. A root is raised lo a power of the same name, by re- moving the index or radical sign.
Thus the cube of 3 v / J+ l r, is b+x. Ad the nth power of (#)", is ay.
134 ALGEBRA.
290. When the radical quantities have rational coefficients, these must also be involved.
I. The square a V^ ' s fl2 "V^ 4 - /cr=a 3 V*- [Art. 282. ] 2. The nth power of m, r m, isa' im, r m .
3. The square of a Vac y, is a* X ( y).
4. The cube of 3atyy, is 27a 3 y.
291
.... But if the radical quantities are connected with oth- ers by the signs -f and, they must be involved by a mul- tiplication of the several terms, as in art. 213.
Ex. 1. Required the cube of [Art. 244. ] ajy+y [Art. 289. ] 10 2, Required the square of a^/b. Ans. S 3. Required the cube of 292. It is unnecessary to give a separate rule for the evo- lution of radical quantities, that is, for finding the root, of a C[iu;nlity which is already a root. The operation is the same as in other cases of evolution.


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