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" Arts. 200 and 201 we derive the following rule : Extract the required root of the numerical coefficient, and divide the exponent of each letter by the index of the root. "
A Complete Course in Algebra - Page 166
by Webster Wells - 1885
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A Textbook on Metallurgy of Gold, Silver, Copper, Lead, and Zinc, Volume 1

International Correspondence Schools - Arithmetic - 1902 - 794 pages
...y"+' =/. From this principle the following rule may be deduced. To extract any root of a monomial : Rule. — Extract the required root of the numerical...exponent of each letter by the index of the root. Make the sign of every even root of a positive quantity ±, and the sign of every odd root of any quantity...
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Academic Algebra

Wooster Woodruff Beman, David Eugene Smith - Algebra - 1902 - 408 pages
...191. It is therefore evident that to extract the root of a monomial power it is merely necessary to divide the exponent of each letter by the index of the root, extract the root of the numerical coefficient, and prefix the proper sign. EXERCISE LXXVn Simplify...
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Factoring

Webster Wells - Factors (Algebra) - 1902 - 36 pages
...as the index of the required root : Extract the required root of the numerical coefficient, if any, and divide the exponent of each letter by the index of the required root. Ex. Eequired the fifth root of 32 cWc15. By the rule, л/32 awbsc* = 2<z26c3. 13. A...
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Mathematics

American School (Chicago, Ill.) - Engineering - 1903 - 426 pages
...imaginary quantities. We may now state the following rule for determining the roots of a monomial. Extract the required root of the numerical coefficient,...exponent of each letter by the index of the root. Give to any even root of a positive quantity the sign -f-, and to any odd root of a quantity the sign of the...
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School Algebra

John Marvin Colaw - Algebra - 1903 - 444 pages
...From what precedes it is evident that to extract the root of a monomial expression, we need merely to divide the exponent of each letter by the index of the root, take the required root of the numerical coefficient, and prefix the proper sign. 272. Roots by Factoring...
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Advanced Course in Algebra

Webster Wells - Algebra - 1904 - 642 pages
...the same degree as the index of the required root : Extract the required root of the absolute value of the numerical coefficient, and divide the exponent of each letter by the index of the required root. Give to every even root of a positive term the positive sign, and to every odd root...
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New York Teachers' Monographs, Volume 6

Education - 1904 - 592 pages
...it carefully. It says: 'To find the root of a monomial, find the required root of the coefficient, divide the exponent of each letter by the index of the root, for the exponent of that letter in the root, etc.' Let us take an example. What is the cube root of...
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Elements of Algebra for Beginners

George Washington Hull - Algebra - 1904 - 172 pages
...by 3. Therefore, to find any root of a monomial, KULE. Extract the required root of the coefficient, divide the exponent of each letter by the index of the root, and prefix to the result the proper sign. EXAMPLES Find the values of the following : 2. V25 d2b\ 9....
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Elementary Algebra

George Albert Wentworth - Algebra - 1906 - 440 pages
...rinding any required root of a monomial will be found useful in solving examples in division : Find the required root of the numerical coefficient and...divide the exponent of each letter by the index of the required root. Thus, the square root of 64 cW is 8 a№. 124. Difference of Two Squares. By performing...
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Arithmetic: Elements of Algebra. Logarithms. Geometrical Drawing

International Correspondence Schools - Arithmetic - 1906 - 576 pages
...power is odd, the sign of the power will be minus. Rule II. — To extract any root of a monomial, extract the required root of the numerical coefficient and divide the exponent of each letter bv t lie index of t lie root. If t lie index is odd, the sign of t lie root will be the same as the...
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