New Elementary Algebra : in Which the First Principles of Analysis Are Progressively Developed And Simplified : for Common Schools And Academies
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In our eReader you can find the full English version of the book. Read New Elementary Algebra : in Which the First Principles of Analysis Are Progressively Developed And Simplified : for Common Schools And Academies Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book New Elementary Algebra : in Which the First Principles of Analysis Are Progressively Developed And Simplified : for Common Schools And Academies
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To quickly assess the difficulty of the text, read a short excerpt:
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.
What to read after New Elementary Algebra : in Which the First Principles of Analysis Are Progressively Developed And Simplified : for Common Schools And Academies?
You can find similar books in the "Read Also" column, or choose other free books by Benjamin Greenleaf to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
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.
What to read after New Elementary Algebra : in Which the First Principles of Analysis Are Progressively Developed And Simplified : for Common Schools And Academies?
You can find similar books in the "Read Also" column, or choose other free books by Benjamin Greenleaf to read onlineMoreLess
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