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" The square root of a number is one of its two equal factors : the cube root is one of its three equal factors, etc. "
The Common School Arithmetic ... - Page 279
by James S.. Eaton - 1877 - 351 pages
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The American Arithmetic

James Robinson (of Boston.) - 1847 - 304 pages
...*/25 -}-ll is 6 ; the cube root of ,4/64 — 27 + 88 is 5. EXTRACTION OF THE SQUARE ROOT. Art. 172. THE square root of a number is one of its two equal factors. The extraction of the square root of a number is the method of finding one of its two equal factors. The...
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Wisconsin Journal of Education, Volume 28

Education - 1898 - 404 pages
...determined when the area is the only element given. The child can thus be led inductively to see that the square root of a number is one of its two equal factors. Whatever the method it should be based upon clear insight on the part of the pupil. This is true even...
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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1859 - 324 pages
...+ *o2а"2 — Sb3d3 + 16o4d . CHAPTER VIL SQUABE BOOT. RADICALS OF THE В К С О ND DEGEEE. 138. THE SQUARE ROOT of a number is one of its two equal factors. Thus, 6 x 6 = 36 ; therefore, 6 is the square root of 36. The symbol for the square root, is 4/ , or...
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Davies' University Arithmetic: Embracing the Answers, and a Full Analysis ...

Charles Davies - Arithmetic - 1861 - 496 pages
...product of equal factors ; and the root is one of the equal factors. EXTRACTION OF THE SQUARE ROOT. 377. THE SQUARE ROOT of a number is one of its two equal factors. To extract the square root is to find this factor The first ten numbers and their squares are : 1,...
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University Arithmetic: Embracing the Science of Numbers, and General Rules ...

Charles Davies - Arithmetic - 1865 - 468 pages
...product of equal factors ; and the root is one of the equal factors. EXTRACTION OF THE SQUARE ROOT. 377. THE SQUARE ROOT of a number is one of its two equal factors. To extract the square root is to find this factor. The first ten numbers and their squares are : 1,...
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Eaton's Elementary Algebra: Designed for the Use of High Schools and Academies

William Frothingham Bradbury - Algebra - 1868 - 264 pages
...quantity is a quantity which taken as a factor a given number of times will produce the given quantity. The number of times the root is to be taken as a factor depends upon the name of the root. Thus, the second or square root of a quantity is a quantity which taken twice as a factor will produce...
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Stoddard's Complete Arithmetic: Being the New Practical Arithmetic of the ...

John Fair Stoddard - Arithmetic - 1888 - 480 pages
...square root of 1296 ? *2)G48 ANALYSIS. — Resolve the number into its prime fac- n\nn~ tors. Since the square root of a number is one of its / two equal factors, we take one of every two equal *2)1G2 prime factors of the number, which we have marked with a star,...
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Practical Arithmetic, Embracing the Science of Numbers and the Art of ...

John Fair Stoddard - Arithmetic - 1868 - 428 pages
..."What is the square root of 1296? *2)648 ANALYSIS. — Resolve the number into its prime factore. Since the square root of a number is one of its / two equal factors, we take one of every two equal *2)1G2 prime .factors of the number, which we have marked with a star,...
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A Treatise on Arithmetic ...

James Stewart Eaton - 1872 - 402 pages
...root of a number is one of the equal factors whose continued product is that number (94, b, Note 1). The number of times the root is to be taken as a factor...square root of a number is one of its two equal factors 5 the cube root is one of its three equal factors ; etc. ; thus, the square root of 64 is 8, for 8...
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New Practical Arithmetic: In which the Science and Its Applications are ...

Henry Bartlett Maglathlin - Arithmetic - 1873 - 362 pages
...388. A Root of :i number is one of the equal factors taken to form the number. 389. The Second, or Square Root of a number is one of its two equal factors. Thus, The square root of 25 = 5 ; since 5X5 = 25. The Third, or Cube Boot of a number is one of its...
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