+0  
 
0
442
2
avatar

How does one do Square roots?

 Nov 8, 2016
 #1
avatar
0

Square roots are the inverse of squaring (Similar to how division is the inverse of multiplication)

And as such the square root of any number is equal to what number squared equals that number

For Example

Because 

\({2}^{2}=4\)

2 squared equals four

Then

\(\sqrt{4}=2\)

the square root of four equals two

\(\sqrt{4}=-2, 2\) \({2}^{2}=4,{-2}^{2} = 4\)
\(\sqrt{9}=-3,3\) \(9 = {3}^{2}, 9={-3}^{2}\)
\(\sqrt{16} = 4\) \(4 *4=16, -4 *-4=16\)
\(\sqrt{25} = 5\) \(25 = 5*5, 25 = -5*-5\)
\(\sqrt{{x}^{2}}= -x, x\) \(x * x = {x}^{2}, -x*-x = {-x}^{2}={x}^{2}\)
 Nov 8, 2016
 #2
avatar
0

If you mean how to calculate square roots by hand, then there is a method called "Newton's method" that can calculate any square root. But it is a long and very tedious method doing it by pencil and paper.

 Nov 8, 2016

1 Online Users

avatar