How do I simplify √1/4x^2?

Question

unklerhaukus · Answer

is that 
$$\sqrt{\frac1{4x^2}}$$?

unklerhaukus · Answer

$$\sqrt{\frac1{4x^2}}=\frac{\sqrt1}{\sqrt{4x^2}}=\frac{\sqrt1}{\sqrt{4}\sqrt{x^2}}= \dots$$

anonymous · Answer

Oh so would the final answer be x/2 ?

unklerhaukus · Answer

almost,

anonymous · Answer

SO you multiply 2x on both sides, giving us 2x? or do you have to do something with the √1?

unklerhaukus · Answer

don't multiply anything, 

just simplify each square root term

anonymous · Answer

√1/2x

unklerhaukus · Answer

yeah that's right, 

and you can simplify     √1

anonymous · Answer

The only thing I don't understand is that the x does not have a specific place, so can we determine that it is the bottom or the top, and if so how?

unklerhaukus · Answer

oh, i interpreted your question wrong.

unklerhaukus · Answer

$$\sqrt{\frac14x^2}=\sqrt{\frac14}\sqrt{x^2}=\frac{\sqrt1}{\sqrt4}\sqrt{x^2}=\frac{1}{2}x=x/2$$

as you said originally

anonymous · Answer

Ok, thank you SO much!

unklerhaukus · Answer

NB we have only computed the principal square roots