 | Benjamin Greenleaf - Arithmetic - 1858 - 456 pages
...of periods 66396 is two, the root will consist of two figures, 3 g (] tens and u»it.t. Then 1296 = the square of the tens plus twice the product of the tens 0 into the unit;!, plus the square of the units. The square of tens is hundreds, and must therefore... | |
 | Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...periods C 6 3 9 6 is two, the root will consist of two figures, 3 9 (J tens and units. Then 1296 = the square of the tens plus twice the product of the tens 0 into the units, plus the square of the units. The square of tens is hundreds, and must therefore... | |
 | Charles Davies - Algebra - 1860 - 412 pages
...have, N=a + b; whence, by squaring both members, N2 = a* + 2ab + b2 : Hence, 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. For example, 78 = 70 + 8, hence, (78)2 = (70)2 + 2 X 70... | |
 | Emerson Elbridge White - Arithmetic (Commercial), 1861 - 1861 - 348 pages
...2x 360 x5+(5)'= 129600+3600+25= 133225. In like manner it may be shown that the square of any number is equal to the square of the tens plus twice the product of tens by units plus the square of units. The two principles, above, determine the process of extracting... | |
 | Benjamin Greenleaf - 1863 - 338 pages
...of figures in the square root. 2141 The square of any number, consisting of more than one place of 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. For, if the tens of a number bo denoted by a, and the units... | |
 | Charles Davies - Arithmetic - 1863 - 346 pages
...the sum is, 33+ 2 (3 x 0) + 63: that is, 3 + 6 3 + 6 3x6 3' + 3 x 6 2(3x6) + 6 The square of a number is equal to the square of the tens plus twice the product of the tens by the units, plus th» square of the units. The same may be shown by the figure : Let the line AB... | |
 | Elias Loomis - Algebra - 1868 - 386 pages
...841 " 800+40+1. If, then, 841 is the square of a number composed of tens and units, it must contain the square of the tens, plus twice the product of the tens ly the units, plus the square of the units. But these three terms are blended together in 841, and... | |
 | Emerson Elbridge White - Arithmetic - 1870 - 350 pages
...the units. In like manner, it may be shown that the square of any 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. 33. What is the square of 45 ? ( 402 - = 1600 PROCESS:... | |
 | Robert Wallace - 1870 - 164 pages
...or a2+2a6 + b-= 400+280+49=729. Hence the square of a number composed of tens and units consists of the square of the tens, plus twice the product of the tens by the units, plus the square of the units. If we reverse this process, we shall find the square root... | |
 | Charles Davies - Algebra - 1871 - 404 pages
...certain number of units, the 782 725 5714 4509 12054 4 12054 4 given number will, as before, be 150 3 equal to the square of the tens plus twice the product of the tens by 1506 8 the units plus the square of the units. If then, as before, we point off it period of two... | |
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The square 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. 
