 | 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... | |
 | Webster Wells - Algebra - 1889 - 584 pages
...negatice. For the even powers of either a positive or a negative quantity are positive. Thus, -{/a4 = a or — a ; that is, -^/a4 = ±a. • Note. The sign...of its terms. EXAMPLES. 1. Find the square root of 9a4&2c6. By the rule, л/9 a'öV = ± 3 a?bc\ Ans. 2. Find the fifth root of — 32 aloa?m. л/ —... | |
 | David Martin Sensenig - Algebra - 1889 - 388 pages
...Va" = a2, W=b, and - 32 =с4 [P. 75]; hence the result is — 2 a2 b с4. Therefore, Hule. — Take the required root of the numerical coefficient and divide the exponent of each literal factor by the index of the root. EXERCISE 86. Find the value of : 8. л/144 а8 *8 9. V- 729(a... | |
 | Webster Wells - Algebra - 1890 - 560 pages
...understood. 2. Required the cube root of By Art. 109, (2 ary )2 Whence, \/8aty" = 2 afy4. We then have the following rule : Extract the required root of...exponent of each letter by the index of the root. It is evident from the above illustrations that a rational, integral, and positive monomial is a perfect... | |
 | William James Milne - Algebra - 1892 - 370 pages
...of the quantity is ± 5 tfy3. RULE. • — Extract the required root of the numerical coefficient; divide the exponent of each letter by the index of the root sought, and prefix the proper sign to the result. The root of a fraction is found by taking the root... | |
 | William James Milne - Algebra - 1894 - 216 pages
...square root of the quantity is ± 4 aV. KULE. Extract the required root of the numerical coefficient; divide the exponent of each letter by the index of the root sought ; and prefix the proper sign to the result. The root of a fraction is found by taking the root... | |
 | Wallace Clarke Boyden - Algebra - 1894 - 188 pages
...,_ \4_of Hence V+a4 = ? 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, give to even roots of plus numbers the plus-or-minus sign... | |
 | William James Milne - Algebra - 1894 - 214 pages
...square root of the quantity is ± 4 a?x3. RULE. Extract the required root of the numerical coefficient ; divide the exponent of each letter by the index of the root sought ; and prefix the proper sign to the result. The root of a fraction is found by taking the root... | |
 | George Washington Hull - Algebra - 1895 - 358 pages
...3a%e3. Therefore, to find any root of a monomial, RULE. 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. NOTE 1. — If the coefficient of the given quantity is not... | |
 | Electrical engineering - 1897 - 672 pages
...evolution is the reverse of involution, we have the following for extracting any root of a monomial: Rule. — Extract the required root of the numerical...coefficient, and divide the exponent of each letter by tlie index of the root. Make the sign of every even root of a positive quantity ± , and the sign of... | |
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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. 
