New Elementary Algebra : in Which the First Principles of Analysis Are Progressively Developed And Simplified : for Common Schools And Academies
The book New Elementary Algebra : in Which the First Principles of Analysis Are Progressively Developed And Simplified : for Common Schools And Academies was written by author Benjamin Greenleaf Here you can read free online of New Elementary Algebra : in Which the First Principles of Analysis Are Progressively Developed And Simplified : for Common Schools And Academies book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is New Elementary Algebra : in Which the First Principles of Analysis Are Progressively Developed And Simplified : for Common Schools And Academies a good or bad book?
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In the expression 2 a^ 4^3 a b, place the factor 2 under the sign. Ans. a^ ^48 a h. L Eeduce (a -|- J) v'c to a radical without a coefficient. Ans. (a^c-\-2ahc-\-b^c)^. 5, Reduce ^ i/ to a radical without a coefficient. CASE ni. 237t To reduce radicals of diflFerent degrees to equivalent ones having a common index. 1. Reduce cr and 5* to a common index. OPERATION Since any quantity may be „J _ „l _ c„8 J oj. ^^ '•^'sed to any power indicat- 1 ^ 4 ' ed by a given root, and writ- o =0 = (h') , or... V ten under a corresponding radical sign, without chang- ing the value of the expression (Art. 235), it is evident that cr 1 1 A . and 6° are equal to cr and 6', respectively. That is, we may re- duce the given exponents to equivalent ones having a common de- nominator. , Now, a' is equal to (a') », or S/a\ and 6* is equal to (J=)^, or S/^. Hence the RULE. Reduce the given exponents to a common denominator ; raise eojoh quantity to the power denoted hy the numerator of the re- ' duced exponent, and indicate the root denoted hy the denomi- nator.
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