 | Benjamin Greenleaf - Arithmetic - 1860 - 456 pages
...hundreds, &c. of the square root of the number. 2. The square of a number consisting of TENS and UNIT'S 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... | |
 | Charles Davies - Algebra - 1860 - 328 pages
...which we bring down the two 1184 1184 next figures 84. The result of this operation, 1184, contains twice the product of the tens by the units, plus the square of the units. But since tens multiplied by units cannot give a product of a less unit than tens, it follows that... | |
 | 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... | |
 | Charles Davies - Arithmetic - 1861 - 496 pages
...3 ! + 2 (3 x 6) + 6 3 : that is, Rule.—The square of a number is equal to the square of the tenn, plus twice the product of the tens by the units, plus the square of the units. 379. To find the square root of any number. 1. Let it now be required to extract the square root of... | |
 | 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 ])lus the square of units. The two principles, above, determine the process of extracting... | |
 | Education - 1861 - 552 pages
...period must be the square of the tens. After taking out this square of the tens, we have left the double product of the tens by the units plus the square of the units. By dividing the double product by double the tens, we find the units. BY inspection, we may often determine... | |
 | William Smyth - 1861 - 352 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... | |
 | William Smyth - Algebra - 1861 - 496 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... | |
 | Gerardus Beekman Docharty - Algebra - 1862 - 336 pages
...have or a'+2a6+6'=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 of the number. We perceive that the square... | |
 | Elias Loomis - Algebra - 1862 - 312 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... | |
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square of a number consisting 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. Using t and u respectively to denote the tens and units of a number, we have the FORMULA... 
