Math Help - 1 quater squared

1. 1 quater squared

If you multiply 0.5 by itself then you get a quater..... so a half squared is 1/4 .......so 1/4 square rooted is a +/- a half?

yet trying to do the inverse.....and square rooting a half = (1/2)^-1/2 is +/- 1/sqrt2

Can someone kill my silly thought process please as I am sleepy and not thinking right!

2. Originally Posted by 200001
If you multiply 0.5 by itself then you get a quater..... so a half squared is 1/4 .......so 1/4 square rooted is a +/- a half?

yet trying to do the inverse.....and square rooting a half = (1/2)^-1/2 is +/- 1/sqrt2

Can someone kill my silly thought process please as I am sleepy and not thinking right!
Hi 200001,

It's hard to find a question is all that.
Look at this progression forwards and backwards.

$\left(\frac{1}{2}\right)^2=\frac{1}{4}$

$\sqrt{\frac{1}{4}}=\frac{1}{2}$

$\sqrt{\frac{1}{2}}=\frac{1}{\sqrt{2}}$

$\left(\frac{1}{\sqrt{2}}\right)^2=\frac{1}{2}$

As far as killing your silly thought process...well

How's this ?

3. Cool!!
I shall digest that and get my head back on straight!