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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. "
Essentials of Algebra for Secondary Schools - Σελίδα 59
των Webster Wells - 1897 - 411 σελίδες
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New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 338 σελίδες
...with the double sign ±. From these examples is deduced the following RULE. • Extract the required root of the numerical coefficient, and divide the exponent of each letter by the index of the root. NOTI 1. Prefix to odd roots of positive quantities +, to odd roots of negative...

A Treatise on Algebra

Elias Loomis - 1868 - 386 σελίδες
...exponent of the power required. Hence, conversely, to extract any root of a monomial, we extract the root of the numerical coefficient, and divide the exponent of each letter by the index of the required root. e Thus the cube root of 64a 6 6 3 is 4a*Z>. 195. Sign of the Boot.—We...

New Higher Algebra: An Analytical Course Designed for High Schools ...

Benjamin Greenleaf - 1871 - 412 σελίδες
...From the principles contained in Articles 209-213, we obtain the following RULE. Extract the required root of the numerical coefficient, and divide the exponent of each letter by the index of the root, making the sign of every even root of a positive quantity ±, and the sign of...

A Treatise on Algebra

Elias Loomis - 1873 - 396 σελίδες
...exponent of the power required. Hence, conversely, to extract any root of a monomial, we extract the root of the numerical coefficient, and divide the exponent of each letter by the index of the required root. Thus the cube root of 64a663 is 4a25. 195. Sign of the Boot. — We...

University Algebra

Webster Wells - 1879 - 468 σελίδες
...each letter by 2. Thus, the square root of 9 a3 b2 is 3 a3 b. To find the cube root, extract the cube root of the numerical coefficient, and divide the exponent of each letter by 3. Thus, the cube root of 8 а3 IP is 2 a e2. 113. The factoring of monomials may be performed by inspection...

New Elementary Algebra: Designed for the Use of High Schools and ..., Βιβλίο 1

Benjamin Greenleaf - 1879 - 350 σελίδες
...written with the double sign ±. From these examples is deduced the following RULE. Extract the required root of the numerical coefficient, and divide the exponent of each letter by the index of the root. NOTE 1. Prefix to odd roots of positive quantities +, to odd roots of negative...

A Complete Course in Algebra

Webster Wells - 1885 - 368 σελίδες
...imaginary quantities. 202. From 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. Give to every even root of a positive quantity the sign ± , and to every odd...

A Complete Course in Algebra for Academies and High Schools

Webster Wells - 1885 - 370 σελίδες
...imaginary quantities. 202. From 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. Give to every even root of a positive quantity the sign ± , and to every odd...

A Complete Course in Algebra for Academies and High Schools

Webster Wells - 1885 - 382 σελίδες
...imaginary quantities. 202. From 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. Give to every even root of a positive quantity the sign ± , and to every odd...

A Short Course in Higher Algebra: For Academies, High Schools, and Colleges

Webster Wells - 1889 - 584 σελίδες
...imaginary quantities. • 202. From 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. Give to every even root of a positive quantity the sign ± , and to every odd...




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