...second degree. 84. These expressions may be often simplified by the use of the following principle. The square root of the product of two or more factors...equal to the product of the square roots of these factor t, or, in algebraical language, v/abcd • • • • = v/a • v/^ • \'c • V^ • •...

...quantity is introduced into the calculus by affecting it with the sign V , and it is written thus, V^Sa64. Quantities of this kind are called radical quantities,...quantities, or simply radicals of the second degree. 84. These expressions may sometimes be simplified, upon the principle that the square root of the product...

...is introduced into the calculus by affecting it with the sign V , and it is written thus, V98ab°. Quantities of this kind are called radical quantities,...simplified, upon the principle that, the square root of tlie product of two or more factors is equal to the product of the square roots of these factors ;...

...~ represent a fraction in its least terms. Then . a *.'aa \/ab 820. The root of any number which is the product of two or more factors, is equal to the product of the roots of these separate factors. Thus \/ab — \/a X ,,/b. If o = 10 and b — 9, then */ Hi X » =...

...quantity is introduced into the calculus by affecting it with the sign V , and it is written thus, VsSab4. Quantities of this kind are called radical quantities,...square root of the product of two or more factors » equal to the product of the square roots of these factors ; or, in algebraic language, Vabcd . ....

...quantity is introduced into the calculus by affecting it with the sign -\/ , and it is written thus : Quantities of this kind are called radical quantities,...quantities, or simply radicals of the second degree. They are also, sometimes called Surds. These expressions may often be simplified, upon the principle...

...simply radicals of the second degree. They are also, sometimes called Surds. These expressions may often be simplified, upon the principle that, the square root of the product of two or more factors w equal to the product of the square roots of these factors ; or, in algebraic language, Jyabcd . ....

...quantity is introduced into the calculus by affecting it with the sign -y/ , and it is written thus: Quantities of this kind are called radical quantities,...quantities, or simply radicals of the second degree. They are also, sometimes called Surds. These expressions may often be simplified, upon the principle...

...rule for the involution of monomials, let the following proposition be demonstrated, viz. : The power of the product of two or more factors is equal to the product of their powers. Let («6)2 represent the second power of the product of two factors, And a262 the product...

...introduced into the calculus by affecting it with the radical sign y' , and written thus, y'sQab*. Quantities of this kind are called radical quantities,...quantities, or simply radicals of the second degree, These expressions may sometimes be simplified. For, by the definition of the square root, we have X...