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" Which proves that the square of a number composed of tens and units, contains the square of the tens plus twice the product of the tens by the units, plus the square of the units. "
Elements of Geometry - Page 101
by Adrien Marie Legendre - 1825 - 224 pages
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Vocational Mathematics for Girls

William Henry Dooley - Arithmetic - 1917 - 394 pages
...Root The square of a number composed of tens and units is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. tens' + 2 x tens x units + units* EXAMPLE. — What is the square root of 1225 ? 12'25(30 + 5 = 35...
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Business Mathematics: A Textbook

Edward Ira Edgerton, Wallace Edgar Bartholomew - Business mathematics - 1922 - 334 pages
...as follows : The square of any number of two figures is equal to the square of the tens plus twice the product of the tens by the units plus the square of the units. By applying this principle the square root of any number may be obtained. The square of any number...
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Modern Business Arithmetic: Complete Course

Harry Anson Finney, Joseph Clifton Brown - Business mathematics - 1922 - 564 pages
...above, you will understand that the square of a number is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. The square of a number contains twice as many digits, or one less than twice as many digits, as the...
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So Big

Edna Ferber - Fiction - 1924 - 372 pages
...tractably under Selina's masterly pencil. She took it up, glibly. "The remainder must contain twice the product of the tens by the units plus the square of the units." He blinked. Utterly bewildered. "And," went on Selina, blithely, "twice the tens, times the units,...
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The New Century Book of Facts

Encyclopedias and dictionaries - 1928 - 1958 pages
...following statement. The square of any number of two digits it equal to the square of the'tens plus twice the product of the tens by the units plus the square of the units. The rule for finding the square root of any number is based upon the above principle. To find the square...
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New Elementary Algebra Embracing the First Principles of the Science

Charles Davies - Algebra - 1891 - 312 pages
...= ,f + (2x + y)y ; that is, the number is equal to the square of the tens in its roots, plus twice the product of the tens by the units, plus the square of the units. For example, extract the square root of 6084. Since this number is composed of more than two places...
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A Common School Arithmetic

Daniel Barnard Hagar - Arithmetic - 1871 - 352 pages
...consisting of more than two orders of figures is equal to the square of the tens in its root, plus twice the product of the tens by the units, plus the square of the units. NOTE. — The square of a fraction cannot be integral, or, which is the same thing, an integer cannot...
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