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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. "
Advanced Arithmetic - Page 241
by John William McClymonds, David Rhys Jones - 1910 - 324 pages
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Essentials of Arithmetic, Volume 3

George Wentworth, David Eugene Smith - Arithmetic - 1915 - 320 pages
...more figures may be regarded as composed of tens and units. Therefore, The square of a number contains the square of the tens, plus twice the product of the tens and units, plus the square of the units. This is the most important principle in square root and should be clearly understood, both from the...
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Essentials of Arithmetic: Grammar School Book

George Wentworth, David Eugene Smith - Arithmetic - 1915 - 588 pages
...more figures may be regarded as composed of tens and units. Therefore, The square of a number contains the square of the tens, plus twice the product of the tens and units, plus the square of the units. This is the most important principle in square root and should be clearly understood, both from the...
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Essentials of Arithmetic: Advanced Book

George Wentworth, David Eugene Smith - Arithmetic - 1915 - 324 pages
...figures may be regarded as composed of tens and units. Therefore, The square of a number contains-the square of the tens, plus twice the product of the tens and units, plus the square of the units. This is the most important principle in square root and should be clearly understood, both from the...
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Buker-Felter Arithmetics, Book 3, Parts 1-2

Eva F. Buker - 1915 - 436 pages
...of 20 X 5, 625 and the square of 5 conFIG. LII s.-25 9. The square of a number of two figures equals the square of the tens plus twice the product of the tens and the units plus the square of the units. 10. Regarding each number as composed of tens and units, find...
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Vocational Mathematics

William Henry Dooley - Mathematics - 1915 - 364 pages
...the cube root of 8 is 2. Square 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...
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Junior High School Mathematics, Book 1

George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1917 - 264 pages
...more figures may be regarded as composed of tens and units. Therefore The square of a number contains the square of the tens, plus twice the product of the tens and units, plus the square of the units. This important principle in square root should be clearly understood, both from the multiplication...
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Vocational Mathematics for Girls

William Henry Dooley - Arithmetic - 1917 - 388 pages
...the cube root of 8 is 2. Square 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. tens2 + 2 X tens X units + units3 EXAMPLE. — What is...
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The World Book: Organized Knowledge in Story and Picture, Volume 4

Michael Vincent O'Shea, Ellsworth D. Foster, George Herbert Locke - Encyclopedias and dictionaries - 1918 - 932 pages
...composed of two figures may be found: The square of any number composed of two figures Is equal to the square of the tens, plus twice the product of the tens and the units, plus the square of the units. Square 35. Process: (35)2=302+2(30X5) +52=900+ 2(150)+25=900+300+25=1,225....
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Higher Arithmetic

George Wentworth, David Eugene Smith - Arithmetic - 1919 - 268 pages
...methods. Square Root. It is easily seen by algebraic multiplication The square of a number contains the square of the tens, plus twice the product of the tens and units, plus the square of the units. Since 1 = 1 2 , 100 =10 2 , 10,000 = 100 2 , and so on, it is evident that the square root of any number...
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Higher arithmetic

George Wentworth - 1919 - 266 pages
...methods. Square Root. It is easily seen by algebraic multiplication that The square of a number contains the square of the tens, plus twice the product of the tens and units, plus the square of the units. Since 1 = 12, 100 =102, 10,000 = 1002, and so on, it is evident that the square root of any number...
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