 | David Henry Cruttenden - Arithmetic - 1853 - 330 pages
...square of 45. Thus, 45 = 40+ 5 40+ 5 200 + 25 1600 + 200 Hence, 452 = 1600+400 +25=2025 Ans. That is, the square of the tens, plus twice the product of...tens into the units, plus the square of the units. 16. What is the 4th power of 12 ? Ans. 20,736. 17. Find the square of 71. Ans. 52^. 18. What is the... | |
 | Charles D. Lawrence - Arithmetic - 1854 - 336 pages
...product of 40 + 5 by 40. 1600 + 400 + 25 = the square of 45=2025. Here we may observe : I. That the square of any number consisting of two figures is equal to the square of the tens, increased by twice the product of the tens by the units, and the square of the units. II. The square... | |
 | Elias Loomis - Algebra - 1855 - 356 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 by the units, plus the square of the units. But these three terms are blended together in 841, and... | |
 | William Smyth - Algebra - 1855 - 370 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... | |
 | Charles Davies - Arithmetic - 1856 - 450 pages
...square on AC is made up of the square AE, the two rectangles FE and EC and the square ED : hence, it is equal to The square of the tens plus twice the product of the tens by the units, plus the square of the units. 1. Let it now be required to extract the square root of... | |
 | Arithmetic - 1856 - 46 pages
...multiplied by 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... | |
 | 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... | |
 | Charles Davies - Algebra - 1857 - 408 pages
...have, N=a + b; whence, by squaring both members, N* = a* + 2a6 + b* : 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... | |
 | 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... | |
 | 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... | |
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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. 
