• SURDS. 323 



5. Required the product of jy/-|- and ^\/-~» 



6. Required the product of ^/iS and 5\/4- 



3 

 Ans. iOy/9. 



7. Required the product of a ^ and « ^ . 



Ans. oH^ or a, 



PROBLEM VII. 



To dividd one surd quantity by anothew 



RULE. 



3. Reduce the surds to the same index. 



2. Then take the quotient of the rational quantities, and 

 to it annex the quotient o£ the surds, and it will give the 

 whole quotient required \ which mvist be reduced to its 

 most simple terins. 



EXAMPLES. 

 T. It is required to divide 8^108 by 2^6. 



8-f-2Xv'io8-4-6=4^i8=z=4-/9.X2=4X3'/2Z=:i2y^2 

 the quotient required. 



2. It is required to divide 8-^/512 by 4y^?,. 



Ill 1 



8-^4:^:2, and 5i2^-f-2^ z:256~~:4X4^ ; 



Therefore 2X4X 4^ zzB X 4^ 1:18^/4, is the quo,tient re- 

 quired. 



3. Let 6y/ioo be divided by 3y^2. Ans. 10^/2. 



3 ^3 3 



4. Let 4y/ioco be divided by 2^/4. Ans. 10^/2. 



5. Let •fv'-rly be divided by ^y/^. Ans. ^v/3. 



6. Let 



