214 ALGEBRA. ^ 



4. Multiply the divisor and quotient by the term last 

 put in the quotient, and subtract the product from the 

 dividend; and so on, as in Arithmetic. 



EXAMPLES. 



I. Extract the square root of 43^-J-i2rz^;v-|-i3«'^'4* 



4^'* 





4a ^ a; ^ '■\-6ax ^ -{-A? * 



a. Extract the square root of ^^— 4:^^ -f-6;v^— 4;c-f i, 



;v^' — 4a;^+6;^^— 4^-|-i(;v^ — 2A;+i 



^;^* — 2a;) — 4^ ^ + ^^ 



2PC* — 4a;-J-i)2a;* — 4iv-|-i 

 2A?* — 4a;-|"I 



3. Required the square root of « * H- 4ti ^ x-{-6« * a' * -f" 

 /\ax^'\-x'*, Ans. «^+2^a:-}-a?*. 



4. Requiredthesquarerootof^v"^-— 2A?^ + '^— — ~-| — -> 



Ans. a:* — ►^-H:- 

 5. Required 



