 | 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...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. 95i Let... | |
 | Benjamin Greenleaf - Arithmetic - 1857 - 452 pages
...hundreds, &c. of .the square root of the number. 2. The square of a number consisting O/TENS and UNITS is equal to the square of the tens, plus twice the product of the tens into the units, plus the square of the units. Thus, if the tens of a number be denoted by a and the... | |
 | Elias Loomis - Algebra - 1858 - 394 pages
...then, 841 is the square of a number composed of tens and units, it must contain the square of the lens, 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 hence the peculiar difficulty in determining... | |
 | Benjamin Greenleaf - Arithmetic - 1858 - 456 pages
...hundreds, &c. of the square root of the number. 2. The square of a number consisting O/"TENS and UNITS is equal to the square of the tens, plus twice the product of the tens into the units, plus the square of the units. Thus, if the tens of a number be denoted by a and the... | |
 | Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...hundreds, &c. of the square root of the number. 2. The square of a number consisting O/TENS and UNITS is equal to the square of the tens, plus twice the product of the tens into the units, plus the square of the units. Thus, if the tens of a number be denoted by a and the... | |
 | 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... | |
 | 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...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 - 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... | |
 | 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 Hutton - Mathematics - 1860 - 1020 pages
...second period 41, and annexing them on the right of 4, the result is 441, a number which contains tnice the product of the tens by the units, plus the square of the units. We may further prove, as in the last case, that if we point off the last figure 1, and divide the preceding... | |
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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. 
