...product from the remainder. 4th. Double the terms of the foot already found for a partial divisor, divide the first term of the remainder by the first term of the divisor, and proceed in a similar manner to find the other terms. 1. Find the square root of 4ajy+12aty-f...

...following RULE. 1st. Arrange the terms according to the powers of some one letter ; take the square root of the first term for the first term of the required root, and subtract its square from the given polynomial. 2d. Divide the first term of the remainder by twice...

...expression 3ab + b' we obtain the full divisor За' + За6 + b'. Hence our rule proceeds thus : " Divide the first term of the remainder by the first term of the divisor and add the result to the first term of the roof. Tlien SA 10 take three times the product...

...Multiply the whole divisor by this term of the quotient, and subtract the product from the dividend. Divide the first term of the remainder by the first term of the divisor for a second term of the quotient ; multiply as before, and subtract the product from the first...

...expression 3<t6+62 we .obtain the full divisor 3a2+3a6 + 63. Hence our rule proceeds thus : "Diside the first term of the remainder by the first term of the divisor and add the result to the first term of the root. Then take three times tl*e product of tlie...

...the following RULE. Arrange the terms according to the powers of one of the letters, and take the mth root of the first term for the first term of the required root. Subtract the mth power of this term of the root from the given polynomial, and divide the first term of the remainder...

...of the quotient. Multiply the divisor by this term, and subtract the product from the dividend. III. Divide the first term of the remainder by the first term of the divisor, for the second term of the quotient. Multiply the divisor by this term, and subtract the product...

...(1) Arrange the terms according to the descending powers of one of thp letters. (») Take the square root of the first term for the first term of the required root, and subtract its square from the given quantity. (3) Take twice the part of the root already found...

...DIVISION, TAKE THE BOOT OF THE FIBST TEBM, FOB THE FIRST TERM OF THE REQUIRED BOOT. SUBTRACT THE POWER FBOM THE GIVEN QUANTITY, AND DIVIDE THE FIRST TERM OF THE REMAINDER BY THE FIBST TERM OF THE BOOT INVOLVED TO THE NEXT INFERIOR POWER, AND MULTIPLIED BY THE INDEX OF THE GIVEN...

...following • RULE. Arrange the terms according to the powers of one of the letters, and take the mth root of the first term for the first term of the required root. Subtract the mth power of this term of the root from the given polynomial, and divide the first term of the remainder...