j6o ARTTHMITIC. 



EXAMPLES. 



I. To extract the cube root of 48228*544» 



3X3; ~ 27, 

 3x3 = ^9 



Divisor 2^9 



48228*544(36*4 root. 

 27 



2L228 resoIveruT. 



3X3\X6 = 162 ,1 

 .3X3 'X6'=z 324 C adc! 

 6'dz 216 \ 



3X36^=388& 

 3X36 = 10^ 



38988 



p6'^6 -subtrahenict. 



1572544 resolve nd. 



= ^5552 1 ■ 

 = 1728 J- adc 

 .64 > 



3X36^X4 = T5552 

 3X36 X4'=: "1728 ^ add 

 .43 



1572544 subtrahend. 



2. What is the cube root of 1092727 ? Ans. 103. 



3^ What is the cube root of 27054036008 ? 



Ans. 3C02. 



4. What is the cube root of '0001357 ? 



Ans. '05138, Sec, 



5. What is the cube root of ~-t^ •'' ^"s. -i-. 



6. What h the cube root of -j ? Ans. '873, &c. 



Rule for extracting the Cube Root by 

 ApFRoxiMArioy* ^ 



I. Find by trial a cube near to the glren number, and 

 call it the supposed ciibt\ 



2. Then 



* That this rule converges extremely fast may be easily slicv/n 



thus ; ' ' 



Let 



