how do i find the square root of a number manually......(say1234.56)....... you please tell me the procedure...???
2006-09-15 19:42:37 · 6 answers · asked by duncan james 1 in Science & Mathematics ➔ Mathematics
See this web page:
http://www.homeschoolmath.net/teaching/square-root-algorithm.php
2006-09-15 20:55:23 · answer #1 · answered by Demiurge42 7 · 0⤊ 0⤋
Binary Iteration ( Numerical Analysis) is one method...
for example, you assume the square root of 1234.56
is either 20 or 40
now test both
20^2=400
40^2=1600
you find that 1234.56 is between 400 and 1600
so, sqrt(1234.56) is between 20, 40
so, you try (20+40)/2 which is 30
30^2 =900
Now since 1234.56 is between 900 and 1600
you test(30+40)/2 which is 35
35^2 = 1225
and so on.. until you reach the closeset number.
(35+40)/2 =37.5
37.5^2 = 1406.25
(35+37.5)/2= 36.25
36.25^2= 1314.06
(35+36.25)/2 = 35.75
35.75^2 = 1278.06
(35+35.75)/2 = 35.375
35.375^2= 1251.39
(35+3.375)/2 = 35.1875
35.1875^=1238.16
(35+35.1875)/2= 35.09375
35.09375 ^ 2 = 1231.57
(35.09375+35.1875)/2 = 35.140625
35.140625^ 2= 1234.86
2006-09-15 19:58:06 · answer #2 · answered by just_friends 1 · 0⤊ 0⤋
basically doing it manually you guestimate...in your number listed you would aim close to 1200 then zero in on the exact number. ex 30x 30 to low 40x40 too high so u would already know u near 35 as sq root
manually is a process of trial and error as well as test of patience
2006-09-15 20:00:37 · answer #3 · answered by mbm052969 2 · 0⤊ 0⤋
No there isnt a set function you cant get the square root of 1234.56 its impossible lol why do you ask?
2006-09-15 19:57:23 · answer #4 · answered by kevin d 4 · 0⤊ 1⤋
dude its called a cauclator
GET ONE
2006-09-15 19:56:19 · answer #5 · answered by speedy >>> 4 · 0⤊ 1⤋
well you're 'rooted' then, aren't you?
2006-09-15 19:50:08 · answer #6 · answered by ♤ 5 · 0⤊ 1⤋