 | Benjamin Greenleaf - 1858 - 458 σελίδες
...units, tens, 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... | |
 | William Smyth - 1858 - 344 σελίδες
...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 square, of the tens (a 2 ) = 1600 Twice the tens by the... | |
 | Charles Hutton - 1860 - 1020 σελίδες
...1184 which results from this first operation contains, as we have seen above, twice t; e product of the tens multiplied by the units, plus the square of the units. I'm the product of the tens multiplied by the units cannot be less than tens, and therefore the last... | |
 | John Fair Stoddard - 1888 - 480 σελίδες
...409. The square of a number expressed by tens and units equals tlie square of the tens, plus turice the tens multiplied by the units, plus the square of the units. 2. Square 234, = 200 + 30 + 4, = h + 1 + u. Hence, 410. The square of a number expressed by hundreds,... | |
 | Emerson Elbridge White - 1870 - 350 σελίδες
...number contains the square of the first term of its square root. 3. The square of a number, composed of tens and units, is equal to the square of the tens, plus tivice t}ie product of tl^e tens by the units, plus the square of the units. 410. RULE. — To extract... | |
 | Henry Beadman Bryant, Emerson Elbridge White, Corydon Giles Stowell - 1872 - 576 σελίδες
...every two decimal places used. 3fi4. Observe further, that (he square of any number separated into 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. (Art. 355, 1.) :>('>,'>. These two... | |
 | Shelton Palmer Sanford - 1872 - 404 σελίδες
...the third term, 9, is the square of 3. Hence, the square of a number composed of TENS and UNITS ts equal to the square of the TENS, plus twice the TENS multiplied ly the UNITS, plus the square of the UNITS. ART. 332. Now, let us extract the square root of 529. Analysis.... | |
 | Horatio Nelson Robinson - 1875 - 462 σελίδες
...be composed of two factors, one of which will be three times the square of the tens plus three times the tens multiplied by the units plus the square of the units ; and the other, the units, 1. What is the cube root of 145780726447 ? OPERATION. ANALYSIS. Pointing... | |
 | Samuel Mecutchen, George Mornton Sayre - 1877 - 200 σελίδες
...= 25 = the square of the units. 225 This analysis indicates that the 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. To . prove the accuracy of the proposition,... | |
 | William Guy Peck - 1877 - 430 σελίδες
...square root of a number depends on the following principle of algebra : The square of a 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. ROOTS. This may be illustrated geometrically.... | |
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The square of a 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. tens' + 2 x tens x units + units 
