Question

how do u find the square root with out using a calculator?

Answer 1

Using your head.

Answer 2

There are a number of methods. You can use series, or any one of several approximation methods.

Answer 3

uh...

Answer 4

hes, u r not in the least helpful

Answer 5

chess*

Answer 6

by hand :)

(x+y)^2 = x^2 + 2xy + y^2

Answer 7

for example: lets take the sqrt of 13456

from the deci, seperate it into groups of 2

1 34 56. 00 00 00

Answer 8

im sorry, amistre, but for some reason i can never understand ur explainations

Answer 9

this is gonna be like long hand division now

first find an x^2 that is close to but not greater then our first group; in this case 1

1^2 = 1 so lets use it :)


1
---------------
1 / 1 34 56. 00 00
1
-----
0 34 <- bring down the next grouping

Answer 10

this is were the x^2 + 2xy+y^2 comes into play; we know our "x" = 1 so (2x)*y + y^2 is what we are looking for; sounds harder than it is

Answer 11

1
---------------
1 / 1 34 56. 00 00
1
-----
2x__/0 34

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

1
---------------
1 / 1 34 56. 00 00
1
-----
2(1)__/0 34

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

1
---------------
1 / 1 34 56. 00 00
1
-----
2__/0 34 ; so twenty what times what is close to 34?

20*0 = 0
21*1 = 21 <-- pick 1
22*2 = 44

Answer 12

1 1
---------------
1 / 1 34 56. 00 00
1
-----
21/0 34
21
----
1356 start over
---------------------

2(11)___ = 22___

22y*y is close to 1356 ??

220*0 = 0

221*1 = 221

222*2 = 444 etc

Answer 13

226*6 = 1356 ... i guess we can use 6 :)

.........................................


1 1 6.
---------------
1 / 1 34 56. 00 00
1
-----
21/0 34
21
----
226 / 1356
1356
------
0 we can stop

116^2 = 13456 right?