CHAPTER XXIII. INVOLUTION AND EVOLUTION OF RADICALS. 232. The power or the root of a radical may be found by using fractional exponents. 233. The product or quotient of two quadratic surds which have not the same irrational part will be irrational. For and √xy × √xz = √x2yz=x√ÿz, x √yz÷ X2= √xy. 234. One quadratic surd cannot be the sum or the difference of two others which have not the same irrational part. That is, a surd equals a rational number, which is impossible. 235. The square root of a binomial, one of whose terms is a quadratic surd and the other rational, may sometimes be expressed by a binomial, one or both terms of which may be a quadratic surd. Let a + √ be the given binomial, and let its square root be expressed by Vx+√y. |