...term of the cube expression, 8c№, and may be obtained from it by dividing it by За2 ; that is, by three times the square of the first term of the root (called the trial divisor). If we take the trial divisor, and add to it three times the product of...

...aЬ2 + b3, or (3 a- + .'! <Л + h*)b. If we divide the first term of this remainder by 3 а2, that is, by three times the square of the first term of the root, we obtain the second term of the root, Ь. Adding to the trial-divisor 3 ab, that is, three times the...

...have been found, obtain each succeeding term by dividing the first term of the remainder at that stage by three times the square of the first term of the root. Find the next remainder by subtracting from the last remainder the expression wherein a stands for...

...have been found, obtain each succeeding term by dividing the first term of the remainder at that stage by three times the square of the first term of the root. Find the next remainder by subtracting from the last remainder the expression (За2 + За& + b^)b,...

...have been found, obtain each succeeding term by dividing the first term of the remainder at that stage by three times the square of the first term of the root. Find the next remainder by subtracting from the last remainder the expression (3 a2 + 3 a6 + b2) b,...

...two or more terms, is subtracted from the radicand, and the first term of the remainder is divided by three times the square of the first term of the root, the quotient will be the next term of the root. Eg, by (i), the first term of the cube root of is v/8zs,...

...second term b of the root ia found by dividing 3a*i>, the first term in the remainder, by 3 a*; ie , by three times the square of the first term of the root, a. Since the remainder 3 a»6 + 3 a¿.3 + Is = Ь (3 ч- + 3 ai + ¿>2), the complete trial divisor...

...have been found, obtain each succeeding term by dividing the first term of the remainder at that stage by three times the square of the first term of the root. Find the next remainder by subtracting from the last remainder the expression (3 a2 + 3 ab + ö2) b,...

...second term b of the root is found by dividing 3 <rb, the first term in the remainder, by За1; ie , by three times the square of the first term of the root, n. Since the remainder 3 аг& + 3 ab2 + l3 = Ь (3 аг + 3 ab + //-), the complete trial divisor...

...have been found, obtain each succeeding term by dividing the first term of the remainder at that stage by three times the square of the first term of the root. Find the next remainder by subtracting from the last remainder the expression (3 a2 + 3 ao + b2) ft,...