 | William Smyth - Algebra - 1858 - 344 pages
...raised to the third power _.-»*<-»>+<-»-.-•-.-. Conversely, to extract the root of a monomial, vie divide the exponent of each letter by the index of the root. Thus &a-2 = a~^. The utility of exponents, of the kind which we are here considering, consists principally... | |
 | Benjamin Greenleaf - 1863 - 338 pages
...negative (Art. 207), and therefore is written with the double sign ±. From these examples is deduced the following RULE. • Extract the required root...exponent of each letter by the index of the root. NOTI 1. Prefix to odd roots of positive quantities +, to odd roots of negative quantities — , and... | |
 | Paul Allen Towne - Algebra - 1865 - 314 pages
...4.02492. CASE III. !.">*. To find the root of a positive algebraic monomial. Take the required root of the coefficient, and divide the exponent of each letter by the index of the root. 1. Find the square root of 49xy. Ans. 7x3y3. 2. What is the value of l/289^y3. Ans. l7xy?. 3. What... | |
 | Benjamin Greenleaf - 1866 - 336 pages
...therefore is written with the double sign ±. From these examples is deduced the following RUbE. 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... | |
 | Horatio Nelson Robinson - Algebra - 1866 - 328 pages
...as is seen in the verification. RULE. I. Extract the required root of (he numeral coefficient. II. Divide the exponent of each letter by the index of the root. III. Prefix the double sign, ±, to all even roots, and the minus sign to the odd roots of a negative... | |
 | Elias Loomis - Algebra - 1868 - 386 pages
...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 have seen, Art.... | |
 | Benjamin Greenleaf - Algebra - 1871 - 412 pages
...required root. ROOTS OF MONOMIALS. 223. From the principles contained in Articles 209-213, we obtain the following RULE. Extract the required root of 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 any... | |
 | Elias Loomis - Algebra - 1873 - 396 pages
...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 have seen, Art.... | |
 | Horatio Nelson Robinson - Algebra - 1874 - 340 pages
...as is seen in the verification. RULE. I. Extract the required root of the numeral coefficient. II. Divide the exponent of each letter by the index of the root. III. Prefix the double sign, ±, to all even rools, and the minus sign to the odd roots of a negative... | |
 | Benjamin Greenleaf - Algebra - 1877 - 662 pages
...and therefore is written with the double sign ±. From these examples is deduced the following EULE. Extract the required root of the numerical coefficient,...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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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. 
