The book New School Algebra was written by author George Albert Wentworth Here you can read free online of New School Algebra book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is New School Algebra a good or bad book?
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^"^ 2. (a^A^)^ 11. (a;2-2)*. 6 2VY ^^- (•^ + 3)'- 3 a^»V ^ 13. (2 X 4- 1)«. /'' 4. {-^ab'^cyry 14. (2//i2-l)5. 5. (-Txhjzy. 15. (2a; + 3 2/)^ 16. (2a;-2/)«. 17. (a-y-2)^/. 7. (-2a;y)6. 18. (1 - a; + a;^)^. 8. (- 3 a^^'xy, 19. (1 - 2 a; + 3 x^, 20. (l-.a-ha^)^ ^' 21. (3-4.x + 5xy, Evolution. / 3aWY / 3a;y Y 223. The operation of finding any required root of an expression is called Evolution. A root of an imperfect power cannot be found exactly. Thus, the exact value of the square root of 2 can b...e written only as V^, and the exact value of the cube root of 4 can be written only as vi. Approximate values of these expressions, however, can be found by annexing ciphers and extracting the root. 216 INVOLUTION AND EVOLUTION, 824. Index Law for Evolution. If m and n are positive integers, we have (a«)« = a"»« (§ 215) (/onversely, Va*"" = a » = a™. Also, (a*)" = a%\ (§ 216) C'Onversely, Va^ = Va" X V^ = ab, and Vo^ = Va X Vb, Thus, the ^ root of a* is a* = a^ ; the fourth root of 81 a^* is found by taking the fourth root of 81 and of a"; and is 3 a* Hence, 225.
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