An elementary course of practical mathematics, Del 11860 |
Fra bogen
Resultater 1-5 af 21
Side 4
... Root and the Cube Root are the second and third roots . When the radical sign occurs without an exponent ex- pressed , the square root is meant , as √9 . EXERCISE H. What is the square root of 121 , the cube root of 125 , and 81 ? 24 ...
... Root and the Cube Root are the second and third roots . When the radical sign occurs without an exponent ex- pressed , the square root is meant , as √9 . EXERCISE H. What is the square root of 121 , the cube root of 125 , and 81 ? 24 ...
Side 32
... root of 9a2 ? Ans . ± 3a . 2. The cube root of 64x3 ? 3. The third root of -125x12y6 ? 4. The fourth root of 81x12y8 ? A. Find the square root of 81a2b2 . B. The square root of 18496x1y® . C. The square root of + 27.04a8b10c12 . D. The ...
... root of 9a2 ? Ans . ± 3a . 2. The cube root of 64x3 ? 3. The third root of -125x12y6 ? 4. The fourth root of 81x12y8 ? A. Find the square root of 81a2b2 . B. The square root of 18496x1y® . C. The square root of + 27.04a8b10c12 . D. The ...
Side 68
... Root of any given Fraction . RULE . Extract the proposed root of each term , separ- ately . The sign follows the ... cube root of - 8x3y 125a9 Ans . 2xy2 5a3 2. What is the square root of a2 + 10a + 25ą a2- 6a + 9 Ans . a + 5 a 3 ...
... Root of any given Fraction . RULE . Extract the proposed root of each term , separ- ately . The sign follows the ... cube root of - 8x3y 125a9 Ans . 2xy2 5a3 2. What is the square root of a2 + 10a + 25ą a2- 6a + 9 Ans . a + 5 a 3 ...
Side 69
James Elliot. 452929a10 A. Find the square root of 149769612 B. The cube root of + C. The square root of D. The square root of 125a3b6c15 343c9d12 64a10 144x20 * 144x2 - 360xу + 225y2 256x2 + 320xy + 100y * PROBLEM XVI . To find the ...
James Elliot. 452929a10 A. Find the square root of 149769612 B. The cube root of + C. The square root of D. The square root of 125a3b6c15 343c9d12 64a10 144x20 * 144x2 - 360xу + 225y2 256x2 + 320xy + 100y * PROBLEM XVI . To find the ...
Side 109
... root indicated by its exponent , we obtain the first power . - EXAMPLE 3. Given 26-1023 = 459 , to find z . Completing the square , 26-1023 + 25 = 484 . Extracting the sq . root , z3 −5 ± 22 . ..23 + 27 or — 17 . Extracting the cube root ...
... root indicated by its exponent , we obtain the first power . - EXAMPLE 3. Given 26-1023 = 459 , to find z . Completing the square , 26-1023 + 25 = 484 . Extracting the sq . root , z3 −5 ± 22 . ..23 + 27 or — 17 . Extracting the cube root ...
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Almindelige termer og sætninger
a²+b² added Algebra ar² arithmetical progression binomial CHAPTER co-efficients common difference common ratio Completing the square compound quantities consequently containing cube root Cubic Equation denominator Divide dividend divisor equal EXAMPLE EXERCISE expressed Extract the square Find the square find the value four numbers four Quantities fourth geometrical progression given equation given quantity greater greatest common measure Hence integer last term least common multiple letters Multiply negative NOTE number of terms obtain preceding PROBLEM proved Quadratic Equation Quadratic Surd quan Quantities are Proportionals quotient radical sign Reduce remainder resolved RULE second term side simple factor simple quantity simplest form square root subtract THEOREM three numbers tion tities unknown quantity vinculum whole number
Populære passager
Side 187 - ... fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...
Side 220 - Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Side 184 - When there is a series of quantities, such that the ratios of the first to the second, of the second to the third, of the third to the fourth, &c., are all equal ; the quantities are said to be in continued proportion.
Side 26 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Side 179 - Ratios tnat are equal to the same ratio are equal to one another.
Side 185 - If three quantities are proportional, the first is to the third, as the square of the first to the square of the second ; or as the square of the second, to the square of the third.
Side 184 - IF there be any number of magnitudes, and as many others, which, taken two and two, in a cross order, have the same ratio; the first shall have to the last of the first magnitudes the same ratio which the first of the others has to the last.
Side 93 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
Side 180 - Division, when the difference of the first and second is to the second as the difference of the third and fourth is to the fourth...
Side 181 - If four magnitudes are in proportion, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.