[ 4<*5 ] 
Pone <z=54, 6=9 80; erit igitur ^6=^980 
= 31,3049 prope, quo fiet ut a+Vb futurum fit 
= 85, 3049, atque a — V6=22, 695 1. 
Radix quadrata prioris numeri eft 9,236 proxime. 
Radix quadrata pofterioris eft 4,763. 
Summa Radicum eft 13 ,999, cui proxime adjacet 
integer 14; pone igitur 2#— 1 4, feu #=7; jam cum 
fit y =xx — m, fitque m=V aa — £ = v'29i6 — 980 
— ^ 1936=44 j erit proptereaj'=49— 44— 5, atque 
a deo Binomium redu&um erit 7 + ^/5 ; quod vide, fi 
^ubet, an non ita fit. 
Exemplum 2 nm . 
Sit v/45 -|-Vi682 ad fimplicius reducendum.' 
Pone a=4-s, 6 = 1682, erit igitur ^6=41,01219 
proxime; erit idcirco a-j-y / '6= 86,01219, atque 
a — 1/^=3,89781. 
Radix cubica prioris numeri eft 4,4142 ; Radix 
cubica pofterioris eft 1,5857; fumma Radicum eft 
5,9999, cui proxime adjacet integer 6 ; pone ergo 
2x= 6, feu x=i ; fed eft y=-xx — ms eft autem m 
? 3 
= ^aa — 6 = Vi\1=7\ atqueadeo_/=9 — 7 = 2; 
eft igitur Binomium redu&um 3 +y , 2. 
Exemplum 3«m. 
Sit -1/170 + ^18252 ad fimplicius reducendum.' 
Pone a=-ijo, 6=18252, erit igitur ^=135,1 
proxime; quapropter erit <?+/$ = 305,1, Sea — V6 
= 3 4 , 9 - 
Radix 
