322 ALGEBRA. 



\ 5. Required the difference of -y/j- and -\/^. 



Ans. ^v/15. 

 3 3 ' 



6. Required the difference of y/j and \/-jV* 



3 

 Ans. tVv^J^S. 



7: Find the difference of \/ Soa^x and \/20rt^A;^ 



Ans. /^*-— 2^/;? Xv^S^* 



PROBLEM VI. 



jH? multiply surd quantities together, 



RULE. 



I.' Reduce the surds to the same index. 



2. iNlultiply the rational quantities together, and the 

 surds together. 



3. Then the latter product, annexed to the former, will 

 give the whole product required ; which must be reduced 

 to its most simple terms. 



EXA:jvJLrLE3. 



I. Required to find the product of 3v/8 and 2^/6. 



Here, 3X 2X>v/8X^6=:6v^8X6=:6^48=:6Vi6X3 = 

 6X 4 Xv^3=24>y/3, the product required. 



3 3 



2. Required to find the product of ^'^^ and ^V'-l-. 



Here,. iX|v'|x'./f=iXv'^=|X^H=|X|X 



V 15:=:^ \/ i5=-|-\/i5, 'the product required. 



3. Required the product of 5 V' 8 and 3 V 5. 



Ans. 30^10. 



3 3 , 



4. Required the product of -^V6 and yV 18. 



Ans. V4. 



5. Required 



