| 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... | |
| 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 - 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... | |
| 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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