2'^<^ Algebra. 



PROBLEM IV. 

 7*0 add surd qtiafitkies together. 



RULE. 



i. Reduce suqh quantities, as have unlike indices, td 

 other equivalent ones, having a common index. 



2. Reduce the fractions to a common denominator, and 

 the quantities to their most simple terms. 



3. Then, if the surd part be the same in all of them, 

 annex it to the sum of the rational parts with the sign of 

 multiplication, and it will give the total sum required. 



But if the surd part be not the same in all the quanti-* 

 ties, they can only be added by the signs -■[- and •— . 



feXAMPLES. 



i. It is required to add \/27 and \/48 together- 



First, ^zv^^/pXa—sv's i 



And y'48 = y^i6X3~4'/3 3 



Then, 3'/3+4//3=3+4X >/3=:7v'3= sum re- 

 quired. 



2. It is required to add ^^500 and 'v/ioS together* 



3 3 3 



First, \/5ooiZ'/i25X4=^5'/4 ; 



3 3 3 



And \/io8=y'27X4=^3'/4 » 



Then, 5>/44-3>/4=5 4-3Xv^4=8v'4=r sum te-* 

 quired. 



3. Required th^ sum of y'72 and ,^128. 



Ans. i4v'2. 



4. Required the sum of a/ 2'] and >v/i47' 



Ans. ioy^3. 

 ll 5. Required the sum of >/j and v'-^i* x 



^ ^ Ans.. \i.^^, 



6. Required 



