 The last two figures of the root are found by division. The rule in such cases is, that two less than the number of figures already obtained may be found without error by division, the divisor to be employed being three times the square of the part of...  Algebra for Beginners: With Numerous Examples - Page 210by Isaac Todhunter - 1880 - 328 pagesFull view - About this book
 | Webster Wells - Algebra - 1897 - 434 pages
...ж8-)- 12 ж2 Зх'-12ж8+ The second complete divisor is formed as follows : The trial-divisor is three times the square of the part of the root already found; that is, 3(z3 - 2 ж)2, or Зх* - 12в»'+ 12 ж2. Three times the product of the term of the root... | |
 | Webster Wells - Algebra - 1904 - 384 pages
...obtained, and subtract the product from the remainder. If other terms remain, proceed as before, taking three times the square of the part of the root already found for the next trial-divisor. EXAMPLES. 201. 1. Find the cube root of 8жe-36:v4j/ + 54ж2!/2-27y3 2x2-3y,... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1898 - 712 pages
...general, the method consists of a repetition of the following steps : The trial divisor at any stage is three times the square of the part of the root already found ; as 27 in the preceding example. After one or more figures of the root have been found obtain the... | |
 | George Albert Wentworth - Algebra - 1898 - 434 pages
...than the number of figures already obtained may be found by division without error, the divisor being three times the square of the part of the root already found. 88. Find the cube root of : 1. 4913. 3. 1,404,928. 5. 385,828.352. 2. 42,875. 4. 127,263,027. 6. 1838.265625.... | |
 | George Albert Wentworth - Arithmetic - 1898 - 424 pages
...of figures already obtained may be found without error by division, the divisor to be employed being three times the square of the part of the root already found. 551. The cube root of a common fraction is found by taking the cube root of the numerator and of the... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1900 - 484 pages
...found. The method consists of repetitions of the following steps : The trial divisor at any stage is three times the square of the part of the root already found; as 27 in the preceding example. 59' 319 39 27 32 319 2700 810 81 32 319 3591 30-33] HIGHER ROOTS. 233... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1900 - 206 pages
...[Сн. XII The method consists of repetitions of the following steps : The trial divisor at any stage is three times the square of the part of the root already found ; as 27 in the preceding example. Afler one or more figures of the root have been found, obtain the... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1901 - 646 pages
...found. The method consists of a repetition of the following steps : The trial divisor at any stage is three times the square of the part of the root already found ; as 27 in the preceding example. After one or more figures of the root have been found obtain Ote... | |
 | William James Milne - Algebra - 1901 - 476 pages
...of the root is known to be 6, and that may be found by dividing the first term of the remainder by 3 times the square of the part of the root already found. This divisor is called a trial divisor. Since 3 a26 + 3 ab1 + b3 is equal to b (3 a2 + 3 ab + ft2), the... | |
 | William James Milne - Algebra - 1902 - 620 pages
...the root is known to be ft, and that may be found by dividing the first term of the remainder by 3 times the square of the part of the root already found. This divisor is called a trial divisor. Since 3 a?b + 3 ab1 + ft' is equal to 6 (3 a3 + 3 ab + ft2), the... | |
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