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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 for Academies and High Schools - Page 144
by Webster Wells - 1885 - 349 pages
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New Elementary Algebra: Designed for the Use of High Schools and Academies

Benjamin Greenleaf - Algebra - 1879 - 322 pages
...negative (Art. 207), and therefore is written with the double sign ±. From these examples is deduced the following RULE. Extract the required root of the...exponent of each letter by the index of the root. NOTE 1. Prefix to oil! roots of positive quantities +, to odd roots of negative quantities — , and...
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New Elementary Algebra: Designed for the Use of High Schools and Academies

Benjamin Greenleaf - Algebra - 1879 - 376 pages
...therefore is written with the double sign ±. From fhese examples is deduced the following RULE. JSxtract the required root of the numerical coefficient, and...exponent of each letter by the index of the root. NOTE 1. Prefix to odd roots of positive quantities +, to odd roots of negative quantities — , and...
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New Elementary Algebra

Benjamin Greenleaf - 1879 - 346 pages
...written with the double sign ~f~ . From these examples is deduced the following RULE. Extract tJie required root of the numerical coefficient, and divide...exponent of each ^letter by the index of the root. NOTE 1. Prefix to odd roots of positive quantities +, to odd roo:of negative quantities — , and to...
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University Algebra

Webster Wells - Algebra - 1879 - 468 pages
...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...
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University Algebra: Designed for the Use of Schools and Colleges

Webster Wells - Algebra - 1880 - 498 pages
...From the principles contained in Arts. 235 to 237, we obtain the following ETJLE. Extract the requ1red 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 every odd root of...
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New Elementary Algebra

B. Greenleaf - 1880 - 320 pages
...examples is deduced the following RULE. Extract the required root of the numerical coefficient, ana 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 quantities — , and...
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New Elementary Algebra: Designed for the Use of High Schools and Academies

Benjamin Greenleaf - 1883 - 344 pages
...is written with the double sign ±. From these examples is deduced the following RULE. Extract ihe required root of the numerical coefficient, and divide...exponent of each letter by the index of the root. NOTE 1. Prefix to odd roots of positive quantities +, to odd roots of negative quantities — , and...
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A Complete Course in Algebra for Academies and High Schools

Webster Wells - Algebra - 1885 - 370 pages
...either a positive or a negative quantity are positive. Thus, -у/а4 = a or — a ; that is, -¿/a4 = ±a. Note. The sign ±, called the double sign, is...of its terms. EXAMPLES. 1. Find the square root of 9a462c6. By the rule, л/9 aíV<?= ± 3a?bс?, Ans. 2. Find the fifth root of — 32 a10ж5'". Ans....
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A Complete Course in Algebra

Webster Wells - 1885 - 368 pages
...either a positive or a negative quantity are positive. Thus, д/a4 = a or — a ; that is, ^/a4 = ± a. Note. The sign ±, called the double sign, is prefixed...of its terms. EXAMPLES. 1. Find the square root of 9 a4bV. By the rule, л/9 a W = ± Зa26с3, Ans. 2. Find the fifth root of — 32 a1 W". V - 32 a'V"...
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Sheldons' Complete Algebra: Part I Being Sheldon's Elements of ..., Parts 1-2

Algebra - 1888 - 492 pages
...Required to find the cube root of — 8a2ô6c9. EVOLUTION. 4 / 16a4¿>8 __ V 8lжy2 — Rule. — I. Take the required root of the numerical coefficient, and divide the exponent of each literal factor by the index of the root. II. Give the double sign ± to an even root of a positive...
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