[ 231 ] 



Let all the rationals = p and the coefficient — a^ — %d •=. q 

 and the produdl will now be ^ + 4r "^ab — q Vce — 8 "^abce by ob- 

 ferving the fame rules and multiplying by / + 4r '^ab + q Vce 

 + 8 •/ abce the produd will have but one furd. 



^ / + 4^ "^ab — y ^/ce — 8 "^abce x ^ + 4r ^a^ + q Vce + 8 </abce 



will give ^^ + i6r'ab — q^ce— (i\abce + 8r^ — 169're v'i?^ now 'tis 

 plain that by one multiplication more the denominator is free 

 from all radicals. 



