...integral form by the following process. Multiply tlie numerator and denominator of the fraction Iry such a quantity as will make the denominator a complete...numerator and denominator are complete powers, and take it from under the radical sign. v „ l 3/16 13/8x2 l 2 3/2 Ex.3. з\/81=зЛ/ 27^3=3х3хV 3....

...fraction, it may be reduced to a whole quantity, thus : Multiply both the numerator and denominator by such a quantity as will make the denominator a...numerator and denominator are complete powers, and take it from under the radical sign. c a2 < .Ex. 1. Reduce -^X*/-j- to an integral surd in its ab most...

...fraction, it may be reduced to a whole quantity, thus : Multiply both the numerator and denominator by such a quantity as will make the denominator a...numerator and denominator are complete powers, and take it from under the radical sign. c a3 Ex. 1. Reduce -iX\/-r- to an integral surd in its ao most...

...fraction, it may be reduced to an integral form by the following Rule. — Multiply the numerator and the denominator of the fraction by such a quantity as...numerator and denominator are complete powers, and take it :.- in under the radical sign. Examples. 12X7. 7Я.7 _ 3_ /14 ~4 V 49" 1 — X *"з \/ §Г...

...quantity under the radical sign be a fraction, it may be reduced to the integral form, by multiplying the numerator and denominator of the fraction by such a quantity as will render the denominator a complete power corresponding to the index of the root. Ex fb /be /l , . 1....

...multiply the numerator and denominator of the fraction, by such a quanlity as will make the denominators complete power, corresponding to the root, then extract the root of the denominator, and multiply it by the denominator of the coefficient of the surd. W Reduce 5j/% to its...

...fraction, it may be reduced to a whole quantity, thus : Multiply both the numerator and denominator by such a quantity as will make the denominator a...extract the root of the fraction whose numerator and den minator are complete powers, and take it from under the radical sign. Ex. 1. Reduce -y XV/-T- to...

...factor. If the given surd be in a fractional form, multiply both terms of the fraction by such a number as will make the denominator a complete power, corresponding to the root, and proceed as before. This process is merely the reverse of that in the last problem. It is plain...

.../7a X 7a X v/ 2x= </ 49a2 X -JZx Also, xv/r2a-^x=v'z2X JlTa—x= /j^(2a— x)= Jilaa?—x3. CASE IV. Multiply the numerator and denominator of the fraction...denominator a complete power, corresponding to the root ; and then proceed as in CASE III. EXAMPLE 1. Ex.3. Reduce xi /-and a» /—to integral surds in their...

...denominator equal to some multiple of the denominator of the given fraction. (130.) 1 Multiply both terms of the fraction by such a quantity as will make the denominator equal to the given multiple of it. The multiplier will be found by dividing the given multiple by the...