---------------------------------------------------------------------

method of finding the square root by long division without using calculator for example to find the square root of 327
carry the next two digits ' 27 ' down. now guess /
find the greatest positive integer ' ? '
so that
the product (2?) * (?) is just less than or equal to
227 ( like you do for long division )
decimal point
has been crossedas before double the 18 from the top and write 18*2 = 36 on the side as before try to guess the greatest digit '?' such that (36?) * (?) is less than or equal to 300 360*0 = 0 < 300 361*1 = 361 > 300 so ? = 0 put this digit 0 at the top after 18 remember to put the decimal point also now carry the next group ' 00 ' down to get 300 00 as before double the 180 to get 360 (ignore the decimal point) and write 360 at the side as before try to guess greatest digit '?' so that (360?) * (?) is less than or equal to 30000 3600*0 = 0 3601*1 = 3601 etc . . . . . . . . . 3607*7 =25249 3608*8 =28864 < 30000 3609*9 =32481 > 30000 thereforre ? = 8 put 8 at the top to get 18.08, put 3608*8 =28864 below 30000 and subtract to get 1136 now bring down the next group '00' to get 113600 double 1808 to get 3616 to write on the side try to guess greatest value of ' ? ' so that (3616?)*(?) is less than or equal to 113600 36160*0 =0 36161*1 =36161 36162*2 =72324 36163*3 =108489 < 113600 36164*4 =144656 > 113600 therefore ? = 3 continue the process till you have the accuracy you require here square root of 327 is approximately 18.08 Note the grouping before you start [ in pairs/(of two) to the left and right ] 3567.23522 will be grouped as 35,67 . 23,52,20 567.23522 will be grouped as 5,67 . 23,52,20 2.3 will be grouped as 2.30,00,00, ... and so on ---------------------------------------------------------------------------------------------- trigonometric
identity and ratio of certain standard angles* list
of differentiation formula
*integral
calculus integration formula--------------------------------------------------------------------------------------- |

*

---------------------------------------------

---------------------------------------------

*

disclaimer:

There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work. Also some of the companies which are displaying

advertisements may install cookies on your computer and may be tracking your browsing habits.