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. A Treatise on Algebra - Page 139by Elias Loomis - 1873 - 360 pagesFull view - About this book
| Elias Loomis - Algebra - 1856 - 280 pages
...whose square is a'+2ab+b'. Hence we see 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.** Now the square of tens can give no significant figure in the first right-hand period ; the square of... | |
| Charles Davies - Arithmetic - 1856 - 450 pages
...When «o, decomposed, what IN its square equal to ' F 30 30 The square of a number is equal to ike **'square of the tens, plus twice the product of the tens by the units, plus the square of the units.** The same may be shown by a figure : Let the line AB represent the 3 tens or 30, and BC the six units.... | |
| Arithmetic - 1856 - 46 pages
...itself is called the square, or second power, of that number. The square of any number is equal to **the square of the tens, plus twice the product of the tens** multiplied by the units, plus the square of the units. 1. What is the product of 125 multiplied by... | |
| Benjamin Greenleaf - Arithmetic - 1857 - 452 pages
...number of periods 66396 is two, the root will consist of two figures, 396 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... | |
| 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... | |
| William Smyth - Algebra - 1858 - 344 pages
...= 2209. Thus the square of a number, consisting of units and tens, is composed of three parts, viz. **the square of the tens, plus twice the product of the tens** multiplied by the units, plus the square of the units. Thus in 2209, the square of 47, we have The... | |
| 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... | |
| Charles Davies - Algebra - 1860 - 412 pages
...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 X 8 + (8)2 = 4900 + 1120 + 64 = 6084. 95 1... | |
| Charles Davies - Algebra - 1860 - 412 pages
...both members, N* = a? + 2ab '+ 62 : Hence, the square of a number is equal to the square of the lens, **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 x 8 + (8)2 = 4900 + 1120 + 64 = 6084. 95* Let... | |
| Charles Davies - Algebra - 1860 - 330 pages
...2a;y + y~ - &• + (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.** EXAMPLE. 1. Extract the square root of 6084. Since this number is composed of more than two places... | |
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