...the principle here stated, imaginary expressions may be easily prepared for calculation, by resolving the quantity under the radical sign into two factors, one of which is — 1 ; thereby reducing the imaginary part of the expression to J- 1 . As-a=+«x — 1, the expression...

...form of the fourth root. Ans.'vjj /,' i, 2. Surds are reduced to their most simple terms, by resolving the quantity under the radical sign into two factors, one of which shall be a complete power of the given root ; and then placing the root of this power before ihe other factor...

...to the form of the fourth root. Ans. 0. Surds are reduced to their most simple terms, by resolving the quantity under the radical sign into two factors, one of which shall he a complete power of the given root ; and then placing the root of this power before the other factor...

...the root of which can be extracted. To reduce radicals to their simplest form. RULE. (55.) Decompose the quantity under the radical sign into two factors, one of which shall be a perfect power of the root to be extracted ; then extract the root of this factor, and multiply the...

...which can be extracted. To reduce radicals to their simplest form. RULE. (55.) Decompose the quantify under the radical sign into two factors, one of which shall be a perfect power of the root to be extracted ; then extract the root of this factor, and multiply the...

...Thus, v/8^6 =v/4a2x2&=v/4a~2xv/2l>=2a And, And, Hence, to reduce radicals to their simplest forms : 1. Resolve the quantity under the radical sign into two factors, one of which shall be a complete power of the same name as the root. 2. Extract the root of this factor, and multiply it...

...•J'&c?o = v/ 4a 2 x 26 = V 4a* x V 26=2a And, And, Hence, to reduce radicals to their simplest forms: 1. Resolve the quantity under the radical sign into two factors, one of which shall be a complete power of the same name as the root. 2. Extract the root of this factor, and multiply it...

...the principle here stated, imaginary expressions may De easily prepared for calculation, by resolving the quantity under the radical sign into two factors, one of which it -I; thereby reducing the imaginary part of the expression to Vl. As -o=-f-ax -1» the expression...

...called the co-efficient of the radical. Thus, 762, Sabc, and 12a62c5, are co-efficients of the radical*, In general, to simplify a radical of the second degree...radical sign into two factors, one of which shall lie the greatest perfect square which enters it as a factor. II. Write the square root of the perfect...

...values. 1. A factor may be removed from under he radical sign, and placed as a co-efficient, hus : Resolve the quantity under the radical sign into two factors, one of which is the greatest oerfcct n" power which enters as a factor ; extract the n1* root of this factor, and...